What is the Least Common Multiple of 53980 and 53994?

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 53980 and 53994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53980 and 53994, than apply into the LCM equation.

GCF(53980,53994) = 2
LCM(53980,53994) = ( 53980 × 53994) / 2
LCM(53980,53994) = 2914596120 / 2
LCM(53980,53994) = 1457298060

Least Common Multiple (LCM) of 53980 and 53994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53980 and 53994. First we will calculate the prime factors of 53980 and 53994.

Prime Factorization of 53980

Prime Factorization of 53994

Now multiplying the highest exponent prime factors to calculate the LCM of 53980 and 53994.

LCM(53980,53994) = 2² × 5¹ × 2699¹ × 3¹ × 8999¹
LCM(53980,53994) = 1457298060