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What is the Least Common Multiple of 65488 and 65504?

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 65488 and 65504 is 268107872.

LCM(65488,65504) = 268107872

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Least Common Multiple of 65488 and 65504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65488 and 65504, than apply into the LCM equation.

GCF(65488,65504) = 16
LCM(65488,65504) = ( 65488 × 65504) / 16
LCM(65488,65504) = 4289725952 / 16
LCM(65488,65504) = 268107872

Least Common Multiple (LCM) of 65488 and 65504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65488 and 65504. First we will calculate the prime factors of 65488 and 65504.

Prime Factorization of 65488

Prime factors of 65488 are 2, 4093. Prime factorization of 65488 in exponential form is:

65488 = 24 × 40931

Prime Factorization of 65504

Prime factors of 65504 are 2, 23, 89. Prime factorization of 65504 in exponential form is:

65504 = 25 × 231 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 65488 and 65504.

LCM(65488,65504) = 25 × 40931 × 231 × 891
LCM(65488,65504) = 268107872