What is the Least Common Multiple of 53256 and 53270?

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 53256 and 53270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53256 and 53270, than apply into the LCM equation.

GCF(53256,53270) = 14
LCM(53256,53270) = ( 53256 × 53270) / 14
LCM(53256,53270) = 2836947120 / 14
LCM(53256,53270) = 202639080

Least Common Multiple (LCM) of 53256 and 53270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53256 and 53270. First we will calculate the prime factors of 53256 and 53270.

Prime Factorization of 53256

Prime Factorization of 53270

Now multiplying the highest exponent prime factors to calculate the LCM of 53256 and 53270.

LCM(53256,53270) = 2³ × 3¹ × 7¹ × 317¹ × 5¹ × 761¹
LCM(53256,53270) = 202639080