What is the Least Common Multiple of 51125 and 51145?

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 51125 and 51145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51125 and 51145, than apply into the LCM equation.

GCF(51125,51145) = 5
LCM(51125,51145) = ( 51125 × 51145) / 5
LCM(51125,51145) = 2614788125 / 5
LCM(51125,51145) = 522957625

Least Common Multiple (LCM) of 51125 and 51145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51125 and 51145. First we will calculate the prime factors of 51125 and 51145.

Prime Factorization of 51125

Prime Factorization of 51145

Now multiplying the highest exponent prime factors to calculate the LCM of 51125 and 51145.

LCM(51125,51145) = 5³ × 409¹ × 53¹ × 193¹
LCM(51125,51145) = 522957625