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What is the Least Common Multiple of 64710 and 64729?

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 64710 and 64729 is 4188613590.

LCM(64710,64729) = 4188613590

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Least Common Multiple of 64710 and 64729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64710 and 64729, than apply into the LCM equation.

GCF(64710,64729) = 1
LCM(64710,64729) = ( 64710 × 64729) / 1
LCM(64710,64729) = 4188613590 / 1
LCM(64710,64729) = 4188613590

Least Common Multiple (LCM) of 64710 and 64729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64710 and 64729. First we will calculate the prime factors of 64710 and 64729.

Prime Factorization of 64710

Prime factors of 64710 are 2, 3, 5, 719. Prime factorization of 64710 in exponential form is:

64710 = 21 × 32 × 51 × 7191

Prime Factorization of 64729

Prime factors of 64729 are 7, 1321. Prime factorization of 64729 in exponential form is:

64729 = 72 × 13211

Now multiplying the highest exponent prime factors to calculate the LCM of 64710 and 64729.

LCM(64710,64729) = 21 × 32 × 51 × 7191 × 72 × 13211
LCM(64710,64729) = 4188613590