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What is the Least Common Multiple of 64941 and 64953?

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 64941 and 64953 is 1406037591.

LCM(64941,64953) = 1406037591

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Least Common Multiple of 64941 and 64953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64941 and 64953, than apply into the LCM equation.

GCF(64941,64953) = 3
LCM(64941,64953) = ( 64941 × 64953) / 3
LCM(64941,64953) = 4218112773 / 3
LCM(64941,64953) = 1406037591

Least Common Multiple (LCM) of 64941 and 64953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64941 and 64953. First we will calculate the prime factors of 64941 and 64953.

Prime Factorization of 64941

Prime factors of 64941 are 3, 21647. Prime factorization of 64941 in exponential form is:

64941 = 31 × 216471

Prime Factorization of 64953

Prime factors of 64953 are 3, 7, 1031. Prime factorization of 64953 in exponential form is:

64953 = 32 × 71 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 64941 and 64953.

LCM(64941,64953) = 32 × 216471 × 71 × 10311
LCM(64941,64953) = 1406037591