What is the Least Common Multiple of 52260 and 52279?

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 52260 and 52279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52260 and 52279, than apply into the LCM equation.

GCF(52260,52279) = 1
LCM(52260,52279) = ( 52260 × 52279) / 1
LCM(52260,52279) = 2732100540 / 1
LCM(52260,52279) = 2732100540

Least Common Multiple (LCM) of 52260 and 52279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52260 and 52279. First we will calculate the prime factors of 52260 and 52279.

Prime Factorization of 52260

Prime Factorization of 52279

Now multiplying the highest exponent prime factors to calculate the LCM of 52260 and 52279.

LCM(52260,52279) = 2² × 3¹ × 5¹ × 13¹ × 67¹ × 23¹ × 2273¹
LCM(52260,52279) = 2732100540