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What is the Least Common Multiple of 92925 and 92930?

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 92925 and 92930 is 1727104050.

LCM(92925,92930) = 1727104050

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Least Common Multiple of 92925 and 92930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92925 and 92930, than apply into the LCM equation.

GCF(92925,92930) = 5
LCM(92925,92930) = ( 92925 × 92930) / 5
LCM(92925,92930) = 8635520250 / 5
LCM(92925,92930) = 1727104050

Least Common Multiple (LCM) of 92925 and 92930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92925 and 92930. First we will calculate the prime factors of 92925 and 92930.

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

Prime Factorization of 92930

Prime factors of 92930 are 2, 5, 9293. Prime factorization of 92930 in exponential form is:

92930 = 21 × 51 × 92931

Now multiplying the highest exponent prime factors to calculate the LCM of 92925 and 92930.

LCM(92925,92930) = 32 × 52 × 71 × 591 × 21 × 92931
LCM(92925,92930) = 1727104050