What is the Least Common Multiple of 51005 and 51025?

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 51005 and 51025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51005 and 51025, than apply into the LCM equation.

GCF(51005,51025) = 5
LCM(51005,51025) = ( 51005 × 51025) / 5
LCM(51005,51025) = 2602530125 / 5
LCM(51005,51025) = 520506025

Least Common Multiple (LCM) of 51005 and 51025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51005 and 51025. First we will calculate the prime factors of 51005 and 51025.

Prime Factorization of 51005

Prime Factorization of 51025

Now multiplying the highest exponent prime factors to calculate the LCM of 51005 and 51025.

LCM(51005,51025) = 5² × 101² × 13¹ × 157¹
LCM(51005,51025) = 520506025