GCF and LCM Calculator Logo

What is the Least Common Multiple of 52515 and 52527?

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 (LCM) of 52515 and 52527 is 919485135.

LCM(52515,52527) = 919485135

LCM Calculator and
and

Least Common Multiple of 52515 and 52527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52515 and 52527, than apply into the LCM equation.

GCF(52515,52527) = 3
LCM(52515,52527) = ( 52515 × 52527) / 3
LCM(52515,52527) = 2758455405 / 3
LCM(52515,52527) = 919485135

Least Common Multiple (LCM) of 52515 and 52527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52515 and 52527. First we will calculate the prime factors of 52515 and 52527.

Prime Factorization of 52515

Prime factors of 52515 are 3, 5, 389. Prime factorization of 52515 in exponential form is:

52515 = 33 × 51 × 3891

Prime Factorization of 52527

Prime factors of 52527 are 3, 17509. Prime factorization of 52527 in exponential form is:

52527 = 31 × 175091

Now multiplying the highest exponent prime factors to calculate the LCM of 52515 and 52527.

LCM(52515,52527) = 33 × 51 × 3891 × 175091
LCM(52515,52527) = 919485135