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What is the Least Common Multiple of 64395 and 64410?

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 64395 and 64410 is 276512130.

LCM(64395,64410) = 276512130

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Least Common Multiple of 64395 and 64410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64395 and 64410, than apply into the LCM equation.

GCF(64395,64410) = 15
LCM(64395,64410) = ( 64395 × 64410) / 15
LCM(64395,64410) = 4147681950 / 15
LCM(64395,64410) = 276512130

Least Common Multiple (LCM) of 64395 and 64410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64395 and 64410. First we will calculate the prime factors of 64395 and 64410.

Prime Factorization of 64395

Prime factors of 64395 are 3, 5, 53. Prime factorization of 64395 in exponential form is:

64395 = 35 × 51 × 531

Prime Factorization of 64410

Prime factors of 64410 are 2, 3, 5, 19, 113. Prime factorization of 64410 in exponential form is:

64410 = 21 × 31 × 51 × 191 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 64395 and 64410.

LCM(64395,64410) = 35 × 51 × 531 × 21 × 191 × 1131
LCM(64395,64410) = 276512130