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What is the Least Common Multiple of 64476 and 64480?

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 64476 and 64480 is 1039353120.

LCM(64476,64480) = 1039353120

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Least Common Multiple of 64476 and 64480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64476 and 64480, than apply into the LCM equation.

GCF(64476,64480) = 4
LCM(64476,64480) = ( 64476 × 64480) / 4
LCM(64476,64480) = 4157412480 / 4
LCM(64476,64480) = 1039353120

Least Common Multiple (LCM) of 64476 and 64480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64476 and 64480. First we will calculate the prime factors of 64476 and 64480.

Prime Factorization of 64476

Prime factors of 64476 are 2, 3, 199. Prime factorization of 64476 in exponential form is:

64476 = 22 × 34 × 1991

Prime Factorization of 64480

Prime factors of 64480 are 2, 5, 13, 31. Prime factorization of 64480 in exponential form is:

64480 = 25 × 51 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 64476 and 64480.

LCM(64476,64480) = 25 × 34 × 1991 × 51 × 131 × 311
LCM(64476,64480) = 1039353120