What is the Least Common Multiple of 53980 and 53988?

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 53988 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 53988, than apply into the LCM equation.

GCF(53980,53988) = 4
LCM(53980,53988) = ( 53980 × 53988) / 4
LCM(53980,53988) = 2914272240 / 4
LCM(53980,53988) = 728568060

Least Common Multiple (LCM) of 53980 and 53988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53980 and 53988. First we will calculate the prime factors of 53980 and 53988.

Prime Factorization of 53980

Prime Factorization of 53988

Now multiplying the highest exponent prime factors to calculate the LCM of 53980 and 53988.

LCM(53980,53988) = 2² × 5¹ × 2699¹ × 3¹ × 11¹ × 409¹
LCM(53980,53988) = 728568060