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What is the Least Common Multiple of 64410 and 64428?

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 64410 and 64428 is 691634580.

LCM(64410,64428) = 691634580

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Least Common Multiple of 64410 and 64428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64410 and 64428, than apply into the LCM equation.

GCF(64410,64428) = 6
LCM(64410,64428) = ( 64410 × 64428) / 6
LCM(64410,64428) = 4149807480 / 6
LCM(64410,64428) = 691634580

Least Common Multiple (LCM) of 64410 and 64428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64410 and 64428. First we will calculate the prime factors of 64410 and 64428.

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

Prime Factorization of 64428

Prime factors of 64428 are 2, 3, 7, 13, 59. Prime factorization of 64428 in exponential form is:

64428 = 22 × 31 × 71 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 64410 and 64428.

LCM(64410,64428) = 22 × 31 × 51 × 191 × 1131 × 71 × 131 × 591
LCM(64410,64428) = 691634580