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What is the Least Common Multiple of 92117 and 92132?

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 92117 and 92132 is 8486923444.

LCM(92117,92132) = 8486923444

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Least Common Multiple of 92117 and 92132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92117 and 92132, than apply into the LCM equation.

GCF(92117,92132) = 1
LCM(92117,92132) = ( 92117 × 92132) / 1
LCM(92117,92132) = 8486923444 / 1
LCM(92117,92132) = 8486923444

Least Common Multiple (LCM) of 92117 and 92132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92117 and 92132. First we will calculate the prime factors of 92117 and 92132.

Prime Factorization of 92117

Prime factors of 92117 are 251, 367. Prime factorization of 92117 in exponential form is:

92117 = 2511 × 3671

Prime Factorization of 92132

Prime factors of 92132 are 2, 31, 743. Prime factorization of 92132 in exponential form is:

92132 = 22 × 311 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 92117 and 92132.

LCM(92117,92132) = 2511 × 3671 × 22 × 311 × 7431
LCM(92117,92132) = 8486923444