What is the Least Common Multiple of 61980 and 61996?

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 61980 and 61996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61980 and 61996, than apply into the LCM equation.

GCF(61980,61996) = 4
LCM(61980,61996) = ( 61980 × 61996) / 4
LCM(61980,61996) = 3842512080 / 4
LCM(61980,61996) = 960628020

Least Common Multiple (LCM) of 61980 and 61996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61980 and 61996. First we will calculate the prime factors of 61980 and 61996.

Prime Factorization of 61980

Prime Factorization of 61996

Now multiplying the highest exponent prime factors to calculate the LCM of 61980 and 61996.

LCM(61980,61996) = 2² × 3¹ × 5¹ × 1033¹ × 11¹ × 1409¹
LCM(61980,61996) = 960628020