What is the Least Common Multiple of 89064 and 89070?

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 89064 and 89070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89064 and 89070, than apply into the LCM equation.

GCF(89064,89070) = 6
LCM(89064,89070) = ( 89064 × 89070) / 6
LCM(89064,89070) = 7932930480 / 6
LCM(89064,89070) = 1322155080

Least Common Multiple (LCM) of 89064 and 89070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89064 and 89070. First we will calculate the prime factors of 89064 and 89070.

Prime Factorization of 89064

Prime Factorization of 89070

Now multiplying the highest exponent prime factors to calculate the LCM of 89064 and 89070.

LCM(89064,89070) = 2³ × 3² × 1237¹ × 5¹ × 2969¹
LCM(89064,89070) = 1322155080