What is the Least Common Multiple of 85014 and 85020?

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 85014 and 85020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85014 and 85020, than apply into the LCM equation.

GCF(85014,85020) = 6
LCM(85014,85020) = ( 85014 × 85020) / 6
LCM(85014,85020) = 7227890280 / 6
LCM(85014,85020) = 1204648380

Least Common Multiple (LCM) of 85014 and 85020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85014 and 85020. First we will calculate the prime factors of 85014 and 85020.

Prime Factorization of 85014

Prime Factorization of 85020

Now multiplying the highest exponent prime factors to calculate the LCM of 85014 and 85020.

LCM(85014,85020) = 2² × 3² × 4723¹ × 5¹ × 13¹ × 109¹
LCM(85014,85020) = 1204648380