What is the Least Common Multiple of 89632 and 89649?

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 89632 and 89649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89632 and 89649, than apply into the LCM equation.

GCF(89632,89649) = 1
LCM(89632,89649) = ( 89632 × 89649) / 1
LCM(89632,89649) = 8035419168 / 1
LCM(89632,89649) = 8035419168

Least Common Multiple (LCM) of 89632 and 89649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89632 and 89649. First we will calculate the prime factors of 89632 and 89649.

Prime Factorization of 89632

Prime Factorization of 89649

Now multiplying the highest exponent prime factors to calculate the LCM of 89632 and 89649.

LCM(89632,89649) = 2⁵ × 2801¹ × 3² × 7¹ × 1423¹
LCM(89632,89649) = 8035419168