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What is the Least Common Multiple of 92426 and 92432?

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 92426 and 92432 is 4271560016.

LCM(92426,92432) = 4271560016

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Least Common Multiple of 92426 and 92432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92426 and 92432, than apply into the LCM equation.

GCF(92426,92432) = 2
LCM(92426,92432) = ( 92426 × 92432) / 2
LCM(92426,92432) = 8543120032 / 2
LCM(92426,92432) = 4271560016

Least Common Multiple (LCM) of 92426 and 92432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92426 and 92432. First we will calculate the prime factors of 92426 and 92432.

Prime Factorization of 92426

Prime factors of 92426 are 2, 37, 1249. Prime factorization of 92426 in exponential form is:

92426 = 21 × 371 × 12491

Prime Factorization of 92432

Prime factors of 92432 are 2, 53, 109. Prime factorization of 92432 in exponential form is:

92432 = 24 × 531 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 92426 and 92432.

LCM(92426,92432) = 24 × 371 × 12491 × 531 × 1091
LCM(92426,92432) = 4271560016