# What is the Least Common Multiple of 89 and 95?

*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 89 and 95 is **8455**.

LCM(89,95) = 8455

## Least Common Multiple of 89 and 95 with GCF Formula

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

We need to calculate greatest common factor 89 and 95, than apply into the LCM equation.

GCF(89,95) = 1

LCM(89,95) = ( 89 × 95) / 1

LCM(89,95) = 8455 / 1

LCM(89,95) = 8455

## Least Common Multiple (LCM) of 89 and 95 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89 and 95. First we will calculate the **prime factors of 89 and 95**.

### Prime Factorization of 89

Prime factors of 89 are 89. Prime factorization of **89** in exponential form is:

89 = 89^{1}

### Prime Factorization of 95

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

95 = 5^{1} × 19^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 89 and 95**.

LCM(89,95) = 89^{1} × 5^{1} × 19^{1}

LCM(89,95) = 8455

#### Related Least Common Multiples of 89

#### Related Least Common Multiples of 95

- LCM of 95 and 99
- LCM of 95 and 100
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- LCM of 95 and 103
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- LCM of 95 and 107
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- LCM of 95 and 115