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What is the Least Common Multiple of 92072 and 92082?

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 92082 is 4239086952.

LCM(92072,92082) = 4239086952

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Least Common Multiple of 92072 and 92082 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 92082, than apply into the LCM equation.

GCF(92072,92082) = 2
LCM(92072,92082) = ( 92072 × 92082) / 2
LCM(92072,92082) = 8478173904 / 2
LCM(92072,92082) = 4239086952

Least Common Multiple (LCM) of 92072 and 92082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92072 and 92082. First we will calculate the prime factors of 92072 and 92082.

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 92082

Prime factors of 92082 are 2, 3, 103, 149. Prime factorization of 92082 in exponential form is:

92082 = 21 × 31 × 1031 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 92072 and 92082.

LCM(92072,92082) = 23 × 171 × 6771 × 31 × 1031 × 1491
LCM(92072,92082) = 4239086952