What is the Least Common Multiple of 89064 and 89069?

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 89069 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 89069, than apply into the LCM equation.

GCF(89064,89069) = 1
LCM(89064,89069) = ( 89064 × 89069) / 1
LCM(89064,89069) = 7932841416 / 1
LCM(89064,89069) = 7932841416

Least Common Multiple (LCM) of 89064 and 89069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89064 and 89069. First we will calculate the prime factors of 89064 and 89069.

Prime Factorization of 89064

Prime Factorization of 89069

Now multiplying the highest exponent prime factors to calculate the LCM of 89064 and 89069.

LCM(89064,89069) = 2³ × 3² × 1237¹ × 89069¹
LCM(89064,89069) = 7932841416