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What is the Least Common Multiple of 92057 and 92072?

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 92057 and 92072 is 8475872104.

LCM(92057,92072) = 8475872104

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Least Common Multiple of 92057 and 92072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92057 and 92072, than apply into the LCM equation.

GCF(92057,92072) = 1
LCM(92057,92072) = ( 92057 × 92072) / 1
LCM(92057,92072) = 8475872104 / 1
LCM(92057,92072) = 8475872104

Least Common Multiple (LCM) of 92057 and 92072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92057 and 92072. First we will calculate the prime factors of 92057 and 92072.

Prime Factorization of 92057

Prime factors of 92057 are 7, 13151. Prime factorization of 92057 in exponential form is:

92057 = 71 × 131511

Prime Factorization of 92072

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

92072 = 23 × 171 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 92057 and 92072.

LCM(92057,92072) = 71 × 131511 × 23 × 171 × 6771
LCM(92057,92072) = 8475872104