What is the Least Common Multiple of 89025 and 89030?

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 89025 and 89030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89025 and 89030, than apply into the LCM equation.

GCF(89025,89030) = 5
LCM(89025,89030) = ( 89025 × 89030) / 5
LCM(89025,89030) = 7925895750 / 5
LCM(89025,89030) = 1585179150

Least Common Multiple (LCM) of 89025 and 89030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89025 and 89030. First we will calculate the prime factors of 89025 and 89030.

Prime Factorization of 89025

Prime Factorization of 89030

Now multiplying the highest exponent prime factors to calculate the LCM of 89025 and 89030.

LCM(89025,89030) = 3¹ × 5² × 1187¹ × 2¹ × 29¹ × 307¹
LCM(89025,89030) = 1585179150