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What is the Least Common Multiple of 92457 and 92475?

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 92457 and 92475 is 949995675.

LCM(92457,92475) = 949995675

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Least Common Multiple of 92457 and 92475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92457 and 92475, than apply into the LCM equation.

GCF(92457,92475) = 9
LCM(92457,92475) = ( 92457 × 92475) / 9
LCM(92457,92475) = 8549961075 / 9
LCM(92457,92475) = 949995675

Least Common Multiple (LCM) of 92457 and 92475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92457 and 92475. First we will calculate the prime factors of 92457 and 92475.

Prime Factorization of 92457

Prime factors of 92457 are 3, 10273. Prime factorization of 92457 in exponential form is:

92457 = 32 × 102731

Prime Factorization of 92475

Prime factors of 92475 are 3, 5, 137. Prime factorization of 92475 in exponential form is:

92475 = 33 × 52 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 92457 and 92475.

LCM(92457,92475) = 33 × 102731 × 52 × 1371
LCM(92457,92475) = 949995675