What is the Least Common Multiple of 89432 and 89444?

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 89432 and 89444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89432 and 89444, than apply into the LCM equation.

GCF(89432,89444) = 4
LCM(89432,89444) = ( 89432 × 89444) / 4
LCM(89432,89444) = 7999155808 / 4
LCM(89432,89444) = 1999788952

Least Common Multiple (LCM) of 89432 and 89444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89432 and 89444. First we will calculate the prime factors of 89432 and 89444.

Prime Factorization of 89432

Prime Factorization of 89444

Now multiplying the highest exponent prime factors to calculate the LCM of 89432 and 89444.

LCM(89432,89444) = 2³ × 7¹ × 1597¹ × 59¹ × 379¹
LCM(89432,89444) = 1999788952