What is the Least Common Multiple of 52589 and 52608?

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 52589 and 52608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52589 and 52608, than apply into the LCM equation.

GCF(52589,52608) = 1
LCM(52589,52608) = ( 52589 × 52608) / 1
LCM(52589,52608) = 2766602112 / 1
LCM(52589,52608) = 2766602112

Least Common Multiple (LCM) of 52589 and 52608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52589 and 52608. First we will calculate the prime factors of 52589 and 52608.

Prime Factorization of 52589

Prime Factorization of 52608

Now multiplying the highest exponent prime factors to calculate the LCM of 52589 and 52608.

LCM(52589,52608) = 43¹ × 1223¹ × 2⁷ × 3¹ × 137¹
LCM(52589,52608) = 2766602112