What is the Least Common Multiple of 53976 and 53989?

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 of 53976 and 53989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53976 and 53989, than apply into the LCM equation.

GCF(53976,53989) = 13
LCM(53976,53989) = ( 53976 × 53989) / 13
LCM(53976,53989) = 2914110264 / 13
LCM(53976,53989) = 224162328

Least Common Multiple (LCM) of 53976 and 53989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53976 and 53989. First we will calculate the prime factors of 53976 and 53989.

Prime Factorization of 53976

Prime Factorization of 53989

Now multiplying the highest exponent prime factors to calculate the LCM of 53976 and 53989.

LCM(53976,53989) = 2³ × 3¹ × 13¹ × 173¹ × 4153¹
LCM(53976,53989) = 224162328