What is the Least Common Multiple of 59006 and 59025?

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 59006 and 59025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59006 and 59025, than apply into the LCM equation.

GCF(59006,59025) = 1
LCM(59006,59025) = ( 59006 × 59025) / 1
LCM(59006,59025) = 3482829150 / 1
LCM(59006,59025) = 3482829150

Least Common Multiple (LCM) of 59006 and 59025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59006 and 59025. First we will calculate the prime factors of 59006 and 59025.

Prime Factorization of 59006

Prime Factorization of 59025

Now multiplying the highest exponent prime factors to calculate the LCM of 59006 and 59025.

LCM(59006,59025) = 2¹ × 163¹ × 181¹ × 3¹ × 5² × 787¹
LCM(59006,59025) = 3482829150