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What is the Least Common Multiple of 64677 and 64696?

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 64677 and 64696 is 4184343192.

LCM(64677,64696) = 4184343192

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Least Common Multiple of 64677 and 64696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64677 and 64696, than apply into the LCM equation.

GCF(64677,64696) = 1
LCM(64677,64696) = ( 64677 × 64696) / 1
LCM(64677,64696) = 4184343192 / 1
LCM(64677,64696) = 4184343192

Least Common Multiple (LCM) of 64677 and 64696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64677 and 64696. First we will calculate the prime factors of 64677 and 64696.

Prime Factorization of 64677

Prime factors of 64677 are 3, 21559. Prime factorization of 64677 in exponential form is:

64677 = 31 × 215591

Prime Factorization of 64696

Prime factors of 64696 are 2, 8087. Prime factorization of 64696 in exponential form is:

64696 = 23 × 80871

Now multiplying the highest exponent prime factors to calculate the LCM of 64677 and 64696.

LCM(64677,64696) = 31 × 215591 × 23 × 80871
LCM(64677,64696) = 4184343192