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What is the Least Common Multiple of 79162 and 79167?

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 79162 and 79167 is 6267018054.

LCM(79162,79167) = 6267018054

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Least Common Multiple of 79162 and 79167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79162 and 79167, than apply into the LCM equation.

GCF(79162,79167) = 1
LCM(79162,79167) = ( 79162 × 79167) / 1
LCM(79162,79167) = 6267018054 / 1
LCM(79162,79167) = 6267018054

Least Common Multiple (LCM) of 79162 and 79167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79162 and 79167. First we will calculate the prime factors of 79162 and 79167.

Prime Factorization of 79162

Prime factors of 79162 are 2, 39581. Prime factorization of 79162 in exponential form is:

79162 = 21 × 395811

Prime Factorization of 79167

Prime factors of 79167 are 3, 11, 2399. Prime factorization of 79167 in exponential form is:

79167 = 31 × 111 × 23991

Now multiplying the highest exponent prime factors to calculate the LCM of 79162 and 79167.

LCM(79162,79167) = 21 × 395811 × 31 × 111 × 23991
LCM(79162,79167) = 6267018054