What is the Least Common Multiple of 89478 and 89496?

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 89478 and 89496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89478 and 89496, than apply into the LCM equation.

GCF(89478,89496) = 18
LCM(89478,89496) = ( 89478 × 89496) / 18
LCM(89478,89496) = 8007923088 / 18
LCM(89478,89496) = 444884616

Least Common Multiple (LCM) of 89478 and 89496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89478 and 89496. First we will calculate the prime factors of 89478 and 89496.

Prime Factorization of 89478

Prime Factorization of 89496

Now multiplying the highest exponent prime factors to calculate the LCM of 89478 and 89496.

LCM(89478,89496) = 2³ × 3³ × 1657¹ × 11¹ × 113¹
LCM(89478,89496) = 444884616