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What is the Least Common Multiple of 92072 and 92089?

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 92072 and 92089 is 498754024.

LCM(92072,92089) = 498754024

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Least Common Multiple of 92072 and 92089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92072 and 92089, than apply into the LCM equation.

GCF(92072,92089) = 17
LCM(92072,92089) = ( 92072 × 92089) / 17
LCM(92072,92089) = 8478818408 / 17
LCM(92072,92089) = 498754024

Least Common Multiple (LCM) of 92072 and 92089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92072 and 92089. First we will calculate the prime factors of 92072 and 92089.

Prime Factorization of 92072

Prime factors of 92072 are 2, 17, 677. Prime factorization of 92072 in exponential form is:

92072 = 23 × 171 × 6771

Prime Factorization of 92089

Prime factors of 92089 are 17, 5417. Prime factorization of 92089 in exponential form is:

92089 = 171 × 54171

Now multiplying the highest exponent prime factors to calculate the LCM of 92072 and 92089.

LCM(92072,92089) = 23 × 171 × 6771 × 54171
LCM(92072,92089) = 498754024