What is the Least Common Multiple of 85980 and 85998?

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 85998 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 85998, than apply into the LCM equation.

GCF(85980,85998) = 6
LCM(85980,85998) = ( 85980 × 85998) / 6
LCM(85980,85998) = 7394108040 / 6
LCM(85980,85998) = 1232351340

Least Common Multiple (LCM) of 85980 and 85998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85980 and 85998. First we will calculate the prime factors of 85980 and 85998.

Prime Factorization of 85980

Prime Factorization of 85998

Now multiplying the highest exponent prime factors to calculate the LCM of 85980 and 85998.

LCM(85980,85998) = 2² × 3¹ × 5¹ × 1433¹ × 11¹ × 1303¹
LCM(85980,85998) = 1232351340