What is the Least Common Multiple of 85980 and 85992?

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 85980 and 85992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85980 and 85992, than apply into the LCM equation.

GCF(85980,85992) = 12
LCM(85980,85992) = ( 85980 × 85992) / 12
LCM(85980,85992) = 7393592160 / 12
LCM(85980,85992) = 616132680

Least Common Multiple (LCM) of 85980 and 85992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85980 and 85992. First we will calculate the prime factors of 85980 and 85992.

Prime Factorization of 85980

Prime Factorization of 85992

Now multiplying the highest exponent prime factors to calculate the LCM of 85980 and 85992.

LCM(85980,85992) = 2³ × 3¹ × 5¹ × 1433¹ × 3583¹
LCM(85980,85992) = 616132680