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What is the Least Common Multiple of 2925 and 2939?

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 2925 and 2939 is 8596575.

LCM(2925,2939) = 8596575

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Least Common Multiple of 2925 and 2939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2925 and 2939, than apply into the LCM equation.

GCF(2925,2939) = 1
LCM(2925,2939) = ( 2925 × 2939) / 1
LCM(2925,2939) = 8596575 / 1
LCM(2925,2939) = 8596575

Least Common Multiple (LCM) of 2925 and 2939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2925 and 2939. First we will calculate the prime factors of 2925 and 2939.

Prime Factorization of 2925

Prime factors of 2925 are 3, 5, 13. Prime factorization of 2925 in exponential form is:

2925 = 32 × 52 × 131

Prime Factorization of 2939

Prime factors of 2939 are 2939. Prime factorization of 2939 in exponential form is:

2939 = 29391

Now multiplying the highest exponent prime factors to calculate the LCM of 2925 and 2939.

LCM(2925,2939) = 32 × 52 × 131 × 29391
LCM(2925,2939) = 8596575