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What is the Least Common Multiple of 64972 and 64992?

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 64972 and 64992 is 1055665056.

LCM(64972,64992) = 1055665056

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Least Common Multiple of 64972 and 64992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64972 and 64992, than apply into the LCM equation.

GCF(64972,64992) = 4
LCM(64972,64992) = ( 64972 × 64992) / 4
LCM(64972,64992) = 4222660224 / 4
LCM(64972,64992) = 1055665056

Least Common Multiple (LCM) of 64972 and 64992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64972 and 64992. First we will calculate the prime factors of 64972 and 64992.

Prime Factorization of 64972

Prime factors of 64972 are 2, 37, 439. Prime factorization of 64972 in exponential form is:

64972 = 22 × 371 × 4391

Prime Factorization of 64992

Prime factors of 64992 are 2, 3, 677. Prime factorization of 64992 in exponential form is:

64992 = 25 × 31 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 64972 and 64992.

LCM(64972,64992) = 25 × 371 × 4391 × 31 × 6771
LCM(64972,64992) = 1055665056