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What is the Least Common Multiple of 92312 and 92329?

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 92312 and 92329 is 8523074648.

LCM(92312,92329) = 8523074648

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Least Common Multiple of 92312 and 92329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92312 and 92329, than apply into the LCM equation.

GCF(92312,92329) = 1
LCM(92312,92329) = ( 92312 × 92329) / 1
LCM(92312,92329) = 8523074648 / 1
LCM(92312,92329) = 8523074648

Least Common Multiple (LCM) of 92312 and 92329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92312 and 92329. First we will calculate the prime factors of 92312 and 92329.

Prime Factorization of 92312

Prime factors of 92312 are 2, 11, 1049. Prime factorization of 92312 in exponential form is:

92312 = 23 × 111 × 10491

Prime Factorization of 92329

Prime factors of 92329 are 127, 727. Prime factorization of 92329 in exponential form is:

92329 = 1271 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 92312 and 92329.

LCM(92312,92329) = 23 × 111 × 10491 × 1271 × 7271
LCM(92312,92329) = 8523074648