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What is the Least Common Multiple of 92118 and 92135?

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 92118 and 92135 is 8487291930.

LCM(92118,92135) = 8487291930

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Least Common Multiple of 92118 and 92135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92118 and 92135, than apply into the LCM equation.

GCF(92118,92135) = 1
LCM(92118,92135) = ( 92118 × 92135) / 1
LCM(92118,92135) = 8487291930 / 1
LCM(92118,92135) = 8487291930

Least Common Multiple (LCM) of 92118 and 92135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92118 and 92135. First we will calculate the prime factors of 92118 and 92135.

Prime Factorization of 92118

Prime factors of 92118 are 2, 3, 13, 1181. Prime factorization of 92118 in exponential form is:

92118 = 21 × 31 × 131 × 11811

Prime Factorization of 92135

Prime factors of 92135 are 5, 18427. Prime factorization of 92135 in exponential form is:

92135 = 51 × 184271

Now multiplying the highest exponent prime factors to calculate the LCM of 92118 and 92135.

LCM(92118,92135) = 21 × 31 × 131 × 11811 × 51 × 184271
LCM(92118,92135) = 8487291930