What is the Least Common Multiple of 51507 and 51525?

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 51507 and 51525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51507 and 51525, than apply into the LCM equation.

GCF(51507,51525) = 9
LCM(51507,51525) = ( 51507 × 51525) / 9
LCM(51507,51525) = 2653898175 / 9
LCM(51507,51525) = 294877575

Least Common Multiple (LCM) of 51507 and 51525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51507 and 51525. First we will calculate the prime factors of 51507 and 51525.

Prime Factorization of 51507

Prime Factorization of 51525

Now multiplying the highest exponent prime factors to calculate the LCM of 51507 and 51525.

LCM(51507,51525) = 3² × 59¹ × 97¹ × 5² × 229¹
LCM(51507,51525) = 294877575