# What is the Least Common Multiple of 95 and 113?

*Least common multiple* or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 95 and 113 is **10735**.

LCM(95,113) = 10735

## Least Common Multiple of 95 and 113 with GCF Formula

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 95 and 113, than apply into the LCM equation.

GCF(95,113) = 1

LCM(95,113) = ( 95 × 113) / 1

LCM(95,113) = 10735 / 1

LCM(95,113) = 10735

## Least Common Multiple (LCM) of 95 and 113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95 and 113. First we will calculate the **prime factors of 95 and 113**.

### Prime Factorization of 95

Prime factors of 95 are 5, 19. Prime factorization of **95** in exponential form is:

95 = 5^{1} × 19^{1}

### Prime Factorization of 113

Prime factors of 113 are 113. Prime factorization of **113** in exponential form is:

113 = 113^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 95 and 113**.

LCM(95,113) = 5^{1} × 19^{1} × 113^{1}

LCM(95,113) = 10735

#### Related Least Common Multiples of 95

- LCM of 95 and 99
- LCM of 95 and 100
- LCM of 95 and 101
- LCM of 95 and 102
- LCM of 95 and 103
- LCM of 95 and 104
- LCM of 95 and 105
- LCM of 95 and 106
- LCM of 95 and 107
- LCM of 95 and 108
- LCM of 95 and 109
- LCM of 95 and 110
- LCM of 95 and 111
- LCM of 95 and 112
- LCM of 95 and 113
- LCM of 95 and 114
- LCM of 95 and 115

#### Related Least Common Multiples of 113

- LCM of 113 and 117
- LCM of 113 and 118
- LCM of 113 and 119
- LCM of 113 and 120
- LCM of 113 and 121
- LCM of 113 and 122
- LCM of 113 and 123
- LCM of 113 and 124
- LCM of 113 and 125
- LCM of 113 and 126
- LCM of 113 and 127
- LCM of 113 and 128
- LCM of 113 and 129
- LCM of 113 and 130
- LCM of 113 and 131
- LCM of 113 and 132
- LCM of 113 and 133