What is the Least Common Multiple of 89496 and 89511?

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 89496 and 89511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89496 and 89511, than apply into the LCM equation.

GCF(89496,89511) = 3
LCM(89496,89511) = ( 89496 × 89511) / 3
LCM(89496,89511) = 8010876456 / 3
LCM(89496,89511) = 2670292152

Least Common Multiple (LCM) of 89496 and 89511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89496 and 89511. First we will calculate the prime factors of 89496 and 89511.

Prime Factorization of 89496

Prime Factorization of 89511

Now multiplying the highest exponent prime factors to calculate the LCM of 89496 and 89511.

LCM(89496,89511) = 2³ × 3² × 11¹ × 113¹ × 29837¹
LCM(89496,89511) = 2670292152