What is the Least Common Multiple of 59025 and 59030?

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 59025 and 59030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59025 and 59030, than apply into the LCM equation.

GCF(59025,59030) = 5
LCM(59025,59030) = ( 59025 × 59030) / 5
LCM(59025,59030) = 3484245750 / 5
LCM(59025,59030) = 696849150

Least Common Multiple (LCM) of 59025 and 59030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59025 and 59030. First we will calculate the prime factors of 59025 and 59030.

Prime Factorization of 59025

Prime Factorization of 59030

Now multiplying the highest exponent prime factors to calculate the LCM of 59025 and 59030.

LCM(59025,59030) = 3¹ × 5² × 787¹ × 2¹ × 5903¹
LCM(59025,59030) = 696849150