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What is the Least Common Multiple of 64960 and 64964?

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 64960 and 64964 is 1055015360.

LCM(64960,64964) = 1055015360

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Least Common Multiple of 64960 and 64964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64960 and 64964, than apply into the LCM equation.

GCF(64960,64964) = 4
LCM(64960,64964) = ( 64960 × 64964) / 4
LCM(64960,64964) = 4220061440 / 4
LCM(64960,64964) = 1055015360

Least Common Multiple (LCM) of 64960 and 64964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64960 and 64964. First we will calculate the prime factors of 64960 and 64964.

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

Prime Factorization of 64964

Prime factors of 64964 are 2, 109, 149. Prime factorization of 64964 in exponential form is:

64964 = 22 × 1091 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 64960 and 64964.

LCM(64960,64964) = 26 × 51 × 71 × 291 × 1091 × 1491
LCM(64960,64964) = 1055015360