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What is the Least Common Multiple of 64944 and 64960?

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 64944 and 64960 is 263672640.

LCM(64944,64960) = 263672640

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Least Common Multiple of 64944 and 64960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64944 and 64960, than apply into the LCM equation.

GCF(64944,64960) = 16
LCM(64944,64960) = ( 64944 × 64960) / 16
LCM(64944,64960) = 4218762240 / 16
LCM(64944,64960) = 263672640

Least Common Multiple (LCM) of 64944 and 64960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64944 and 64960. First we will calculate the prime factors of 64944 and 64960.

Prime Factorization of 64944

Prime factors of 64944 are 2, 3, 11, 41. Prime factorization of 64944 in exponential form is:

64944 = 24 × 32 × 111 × 411

Prime Factorization of 64960

Prime factors of 64960 are 2, 5, 7, 29. Prime factorization of 64960 in exponential form is:

64960 = 26 × 51 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 64944 and 64960.

LCM(64944,64960) = 26 × 32 × 111 × 411 × 51 × 71 × 291
LCM(64944,64960) = 263672640