What is the Least Common Multiple of 60972 and 60992?

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 60972 and 60992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60972 and 60992, than apply into the LCM equation.

GCF(60972,60992) = 4
LCM(60972,60992) = ( 60972 × 60992) / 4
LCM(60972,60992) = 3718804224 / 4
LCM(60972,60992) = 929701056

Least Common Multiple (LCM) of 60972 and 60992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60972 and 60992. First we will calculate the prime factors of 60972 and 60992.

Prime Factorization of 60972

Prime Factorization of 60992

Now multiplying the highest exponent prime factors to calculate the LCM of 60972 and 60992.

LCM(60972,60992) = 2⁶ × 3¹ × 5081¹ × 953¹
LCM(60972,60992) = 929701056