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What is the Least Common Multiple of 64749 and 64764?

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 64749 and 64764 is 1397801412.

LCM(64749,64764) = 1397801412

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Least Common Multiple of 64749 and 64764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64749 and 64764, than apply into the LCM equation.

GCF(64749,64764) = 3
LCM(64749,64764) = ( 64749 × 64764) / 3
LCM(64749,64764) = 4193404236 / 3
LCM(64749,64764) = 1397801412

Least Common Multiple (LCM) of 64749 and 64764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64749 and 64764. First we will calculate the prime factors of 64749 and 64764.

Prime Factorization of 64749

Prime factors of 64749 are 3, 113, 191. Prime factorization of 64749 in exponential form is:

64749 = 31 × 1131 × 1911

Prime Factorization of 64764

Prime factors of 64764 are 2, 3, 7, 257. Prime factorization of 64764 in exponential form is:

64764 = 22 × 32 × 71 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 64749 and 64764.

LCM(64749,64764) = 32 × 1131 × 1911 × 22 × 71 × 2571
LCM(64749,64764) = 1397801412