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What is the Least Common Multiple of 92113 and 92126?

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 92113 and 92126 is 8486002238.

LCM(92113,92126) = 8486002238

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Least Common Multiple of 92113 and 92126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92113 and 92126, than apply into the LCM equation.

GCF(92113,92126) = 1
LCM(92113,92126) = ( 92113 × 92126) / 1
LCM(92113,92126) = 8486002238 / 1
LCM(92113,92126) = 8486002238

Least Common Multiple (LCM) of 92113 and 92126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92113 and 92126. First we will calculate the prime factors of 92113 and 92126.

Prime Factorization of 92113

Prime factors of 92113 are 7, 13159. Prime factorization of 92113 in exponential form is:

92113 = 71 × 131591

Prime Factorization of 92126

Prime factors of 92126 are 2, 73, 631. Prime factorization of 92126 in exponential form is:

92126 = 21 × 731 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 92113 and 92126.

LCM(92113,92126) = 71 × 131591 × 21 × 731 × 6311
LCM(92113,92126) = 8486002238