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What is the Least Common Multiple of 92918 and 92925?

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 92918 and 92925 is 1233486450.

LCM(92918,92925) = 1233486450

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Least Common Multiple of 92918 and 92925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92918 and 92925, than apply into the LCM equation.

GCF(92918,92925) = 7
LCM(92918,92925) = ( 92918 × 92925) / 7
LCM(92918,92925) = 8634405150 / 7
LCM(92918,92925) = 1233486450

Least Common Multiple (LCM) of 92918 and 92925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92918 and 92925. First we will calculate the prime factors of 92918 and 92925.

Prime Factorization of 92918

Prime factors of 92918 are 2, 7, 6637. Prime factorization of 92918 in exponential form is:

92918 = 21 × 71 × 66371

Prime Factorization of 92925

Prime factors of 92925 are 3, 5, 7, 59. Prime factorization of 92925 in exponential form is:

92925 = 32 × 52 × 71 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 92918 and 92925.

LCM(92918,92925) = 21 × 71 × 66371 × 32 × 52 × 591
LCM(92918,92925) = 1233486450