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What is the Least Common Multiple of 92856 and 92876?

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 92856 and 92876 is 2156023464.

LCM(92856,92876) = 2156023464

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Least Common Multiple of 92856 and 92876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92856 and 92876, than apply into the LCM equation.

GCF(92856,92876) = 4
LCM(92856,92876) = ( 92856 × 92876) / 4
LCM(92856,92876) = 8624093856 / 4
LCM(92856,92876) = 2156023464

Least Common Multiple (LCM) of 92856 and 92876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92856 and 92876. First we will calculate the prime factors of 92856 and 92876.

Prime Factorization of 92856

Prime factors of 92856 are 2, 3, 53, 73. Prime factorization of 92856 in exponential form is:

92856 = 23 × 31 × 531 × 731

Prime Factorization of 92876

Prime factors of 92876 are 2, 7, 31, 107. Prime factorization of 92876 in exponential form is:

92876 = 22 × 71 × 311 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 92856 and 92876.

LCM(92856,92876) = 23 × 31 × 531 × 731 × 71 × 311 × 1071
LCM(92856,92876) = 2156023464