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What is the Least Common Multiple of 92154 and 92172?

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 92154 and 92172 is 1415669748.

LCM(92154,92172) = 1415669748

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Least Common Multiple of 92154 and 92172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92154 and 92172, than apply into the LCM equation.

GCF(92154,92172) = 6
LCM(92154,92172) = ( 92154 × 92172) / 6
LCM(92154,92172) = 8494018488 / 6
LCM(92154,92172) = 1415669748

Least Common Multiple (LCM) of 92154 and 92172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92154 and 92172. First we will calculate the prime factors of 92154 and 92172.

Prime Factorization of 92154

Prime factors of 92154 are 2, 3, 15359. Prime factorization of 92154 in exponential form is:

92154 = 21 × 31 × 153591

Prime Factorization of 92172

Prime factors of 92172 are 2, 3, 7681. Prime factorization of 92172 in exponential form is:

92172 = 22 × 31 × 76811

Now multiplying the highest exponent prime factors to calculate the LCM of 92154 and 92172.

LCM(92154,92172) = 22 × 31 × 153591 × 76811
LCM(92154,92172) = 1415669748