What is the Least Common Multiple of 60954 and 60972?

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 60954 and 60972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60954 and 60972, than apply into the LCM equation.

GCF(60954,60972) = 6
LCM(60954,60972) = ( 60954 × 60972) / 6
LCM(60954,60972) = 3716487288 / 6
LCM(60954,60972) = 619414548

Least Common Multiple (LCM) of 60954 and 60972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60954 and 60972. First we will calculate the prime factors of 60954 and 60972.

Prime Factorization of 60954

Prime Factorization of 60972

Now multiplying the highest exponent prime factors to calculate the LCM of 60954 and 60972.

LCM(60954,60972) = 2² × 3¹ × 10159¹ × 5081¹
LCM(60954,60972) = 619414548