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What is the Least Common Multiple of 92692 and 92712?

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 92692 and 92712 is 2148415176.

LCM(92692,92712) = 2148415176

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Least Common Multiple of 92692 and 92712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92692 and 92712, than apply into the LCM equation.

GCF(92692,92712) = 4
LCM(92692,92712) = ( 92692 × 92712) / 4
LCM(92692,92712) = 8593660704 / 4
LCM(92692,92712) = 2148415176

Least Common Multiple (LCM) of 92692 and 92712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92692 and 92712. First we will calculate the prime factors of 92692 and 92712.

Prime Factorization of 92692

Prime factors of 92692 are 2, 23173. Prime factorization of 92692 in exponential form is:

92692 = 22 × 231731

Prime Factorization of 92712

Prime factors of 92712 are 2, 3, 3863. Prime factorization of 92712 in exponential form is:

92712 = 23 × 31 × 38631

Now multiplying the highest exponent prime factors to calculate the LCM of 92692 and 92712.

LCM(92692,92712) = 23 × 231731 × 31 × 38631
LCM(92692,92712) = 2148415176