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What is the Least Common Multiple of 92102 and 92108?

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 92102 and 92108 is 4241665508.

LCM(92102,92108) = 4241665508

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Least Common Multiple of 92102 and 92108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92102 and 92108, than apply into the LCM equation.

GCF(92102,92108) = 2
LCM(92102,92108) = ( 92102 × 92108) / 2
LCM(92102,92108) = 8483331016 / 2
LCM(92102,92108) = 4241665508

Least Common Multiple (LCM) of 92102 and 92108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92102 and 92108. First we will calculate the prime factors of 92102 and 92108.

Prime Factorization of 92102

Prime factors of 92102 are 2, 46051. Prime factorization of 92102 in exponential form is:

92102 = 21 × 460511

Prime Factorization of 92108

Prime factors of 92108 are 2, 23027. Prime factorization of 92108 in exponential form is:

92108 = 22 × 230271

Now multiplying the highest exponent prime factors to calculate the LCM of 92102 and 92108.

LCM(92102,92108) = 22 × 460511 × 230271
LCM(92102,92108) = 4241665508