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What is the Least Common Multiple of 52464 and 52480?

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 52464 and 52480 is 172081920.

LCM(52464,52480) = 172081920

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Least Common Multiple of 52464 and 52480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52464 and 52480, than apply into the LCM equation.

GCF(52464,52480) = 16
LCM(52464,52480) = ( 52464 × 52480) / 16
LCM(52464,52480) = 2753310720 / 16
LCM(52464,52480) = 172081920

Least Common Multiple (LCM) of 52464 and 52480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52464 and 52480. First we will calculate the prime factors of 52464 and 52480.

Prime Factorization of 52464

Prime factors of 52464 are 2, 3, 1093. Prime factorization of 52464 in exponential form is:

52464 = 24 × 31 × 10931

Prime Factorization of 52480

Prime factors of 52480 are 2, 5, 41. Prime factorization of 52480 in exponential form is:

52480 = 28 × 51 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 52464 and 52480.

LCM(52464,52480) = 28 × 31 × 10931 × 51 × 411
LCM(52464,52480) = 172081920