What is the Least Common Multiple of 89010 and 89025?

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 89010 and 89025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89010 and 89025, than apply into the LCM equation.

GCF(89010,89025) = 15
LCM(89010,89025) = ( 89010 × 89025) / 15
LCM(89010,89025) = 7924115250 / 15
LCM(89010,89025) = 528274350

Least Common Multiple (LCM) of 89010 and 89025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89010 and 89025. First we will calculate the prime factors of 89010 and 89025.

Prime Factorization of 89010

Prime Factorization of 89025

Now multiplying the highest exponent prime factors to calculate the LCM of 89010 and 89025.

LCM(89010,89025) = 2¹ × 3² × 5² × 23¹ × 43¹ × 1187¹
LCM(89010,89025) = 528274350