What is the Least Common Multiple of 88428 and 88443?

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 88428 and 88443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88428 and 88443, than apply into the LCM equation.

GCF(88428,88443) = 3
LCM(88428,88443) = ( 88428 × 88443) / 3
LCM(88428,88443) = 7820837604 / 3
LCM(88428,88443) = 2606945868

Least Common Multiple (LCM) of 88428 and 88443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88428 and 88443. First we will calculate the prime factors of 88428 and 88443.

Prime Factorization of 88428

Prime Factorization of 88443

Now multiplying the highest exponent prime factors to calculate the LCM of 88428 and 88443.

LCM(88428,88443) = 2² × 3² × 7369¹ × 31¹ × 317¹
LCM(88428,88443) = 2606945868