What is the Least Common Multiple of 52530 and 52547?

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 52530 and 52547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52530 and 52547, than apply into the LCM equation.

GCF(52530,52547) = 17
LCM(52530,52547) = ( 52530 × 52547) / 17
LCM(52530,52547) = 2760293910 / 17
LCM(52530,52547) = 162370230

Least Common Multiple (LCM) of 52530 and 52547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52530 and 52547. First we will calculate the prime factors of 52530 and 52547.

Prime Factorization of 52530

Prime Factorization of 52547

Now multiplying the highest exponent prime factors to calculate the LCM of 52530 and 52547.

LCM(52530,52547) = 2¹ × 3¹ × 5¹ × 17¹ × 103¹ × 11¹ × 281¹
LCM(52530,52547) = 162370230