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What is the Least Common Multiple of 64737 and 64746?

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 64737 and 64746 is 465717978.

LCM(64737,64746) = 465717978

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Least Common Multiple of 64737 and 64746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64737 and 64746, than apply into the LCM equation.

GCF(64737,64746) = 9
LCM(64737,64746) = ( 64737 × 64746) / 9
LCM(64737,64746) = 4191461802 / 9
LCM(64737,64746) = 465717978

Least Common Multiple (LCM) of 64737 and 64746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64737 and 64746. First we will calculate the prime factors of 64737 and 64746.

Prime Factorization of 64737

Prime factors of 64737 are 3, 7193. Prime factorization of 64737 in exponential form is:

64737 = 32 × 71931

Prime Factorization of 64746

Prime factors of 64746 are 2, 3, 11, 109. Prime factorization of 64746 in exponential form is:

64746 = 21 × 33 × 111 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 64737 and 64746.

LCM(64737,64746) = 33 × 71931 × 21 × 111 × 1091
LCM(64737,64746) = 465717978