What is the Least Common Multiple of 94020 and 94035?

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 94020 and 94035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94020 and 94035, than apply into the LCM equation.

GCF(94020,94035) = 15
LCM(94020,94035) = ( 94020 × 94035) / 15
LCM(94020,94035) = 8841170700 / 15
LCM(94020,94035) = 589411380

Least Common Multiple (LCM) of 94020 and 94035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94020 and 94035. First we will calculate the prime factors of 94020 and 94035.

Prime Factorization of 94020

Prime Factorization of 94035

Now multiplying the highest exponent prime factors to calculate the LCM of 94020 and 94035.

LCM(94020,94035) = 2² × 3¹ × 5¹ × 1567¹ × 6269¹
LCM(94020,94035) = 589411380