What is the Least Common Multiple of 89425 and 89440?

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 89425 and 89440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89425 and 89440, than apply into the LCM equation.

GCF(89425,89440) = 5
LCM(89425,89440) = ( 89425 × 89440) / 5
LCM(89425,89440) = 7998172000 / 5
LCM(89425,89440) = 1599634400

Least Common Multiple (LCM) of 89425 and 89440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89425 and 89440. First we will calculate the prime factors of 89425 and 89440.

Prime Factorization of 89425

Prime Factorization of 89440

Now multiplying the highest exponent prime factors to calculate the LCM of 89425 and 89440.

LCM(89425,89440) = 5² × 7² × 73¹ × 2⁵ × 13¹ × 43¹
LCM(89425,89440) = 1599634400