What is the Least Common Multiple of 85020 and 85038?

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 85020 and 85038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85020 and 85038, than apply into the LCM equation.

GCF(85020,85038) = 6
LCM(85020,85038) = ( 85020 × 85038) / 6
LCM(85020,85038) = 7229930760 / 6
LCM(85020,85038) = 1204988460

Least Common Multiple (LCM) of 85020 and 85038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85020 and 85038. First we will calculate the prime factors of 85020 and 85038.

Prime Factorization of 85020

Prime Factorization of 85038

Now multiplying the highest exponent prime factors to calculate the LCM of 85020 and 85038.

LCM(85020,85038) = 2² × 3¹ × 5¹ × 13¹ × 109¹ × 14173¹
LCM(85020,85038) = 1204988460