What is the Least Common Multiple of 89472 and 89477?

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 89472 and 89477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89472 and 89477, than apply into the LCM equation.

GCF(89472,89477) = 1
LCM(89472,89477) = ( 89472 × 89477) / 1
LCM(89472,89477) = 8005686144 / 1
LCM(89472,89477) = 8005686144

Least Common Multiple (LCM) of 89472 and 89477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89472 and 89477. First we will calculate the prime factors of 89472 and 89477.

Prime Factorization of 89472

Prime Factorization of 89477

Now multiplying the highest exponent prime factors to calculate the LCM of 89472 and 89477.

LCM(89472,89477) = 2⁷ × 3¹ × 233¹ × 89477¹
LCM(89472,89477) = 8005686144