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What is the Least Common Multiple of 64779 and 64792?

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 64779 and 64792 is 322858536.

LCM(64779,64792) = 322858536

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Least Common Multiple of 64779 and 64792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64779 and 64792, than apply into the LCM equation.

GCF(64779,64792) = 13
LCM(64779,64792) = ( 64779 × 64792) / 13
LCM(64779,64792) = 4197160968 / 13
LCM(64779,64792) = 322858536

Least Common Multiple (LCM) of 64779 and 64792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64779 and 64792. First we will calculate the prime factors of 64779 and 64792.

Prime Factorization of 64779

Prime factors of 64779 are 3, 11, 13, 151. Prime factorization of 64779 in exponential form is:

64779 = 31 × 111 × 131 × 1511

Prime Factorization of 64792

Prime factors of 64792 are 2, 7, 13, 89. Prime factorization of 64792 in exponential form is:

64792 = 23 × 71 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 64779 and 64792.

LCM(64779,64792) = 31 × 111 × 131 × 1511 × 23 × 71 × 891
LCM(64779,64792) = 322858536