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What is the Least Common Multiple of 79117 and 79122?

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 79117 and 79122 is 6259895274.

LCM(79117,79122) = 6259895274

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Least Common Multiple of 79117 and 79122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79117 and 79122, than apply into the LCM equation.

GCF(79117,79122) = 1
LCM(79117,79122) = ( 79117 × 79122) / 1
LCM(79117,79122) = 6259895274 / 1
LCM(79117,79122) = 6259895274

Least Common Multiple (LCM) of 79117 and 79122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79117 and 79122. First we will calculate the prime factors of 79117 and 79122.

Prime Factorization of 79117

Prime factors of 79117 are 61, 1297. Prime factorization of 79117 in exponential form is:

79117 = 611 × 12971

Prime Factorization of 79122

Prime factors of 79122 are 2, 3, 13187. Prime factorization of 79122 in exponential form is:

79122 = 21 × 31 × 131871

Now multiplying the highest exponent prime factors to calculate the LCM of 79117 and 79122.

LCM(79117,79122) = 611 × 12971 × 21 × 31 × 131871
LCM(79117,79122) = 6259895274