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What is the Least Common Multiple of 79155 and 79162?

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 79155 and 79162 is 6266068110.

LCM(79155,79162) = 6266068110

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Least Common Multiple of 79155 and 79162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79155 and 79162, than apply into the LCM equation.

GCF(79155,79162) = 1
LCM(79155,79162) = ( 79155 × 79162) / 1
LCM(79155,79162) = 6266068110 / 1
LCM(79155,79162) = 6266068110

Least Common Multiple (LCM) of 79155 and 79162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79155 and 79162. First we will calculate the prime factors of 79155 and 79162.

Prime Factorization of 79155

Prime factors of 79155 are 3, 5, 1759. Prime factorization of 79155 in exponential form is:

79155 = 32 × 51 × 17591

Prime Factorization of 79162

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

79162 = 21 × 395811

Now multiplying the highest exponent prime factors to calculate the LCM of 79155 and 79162.

LCM(79155,79162) = 32 × 51 × 17591 × 21 × 395811
LCM(79155,79162) = 6266068110