What is the Least Common Multiple of 52352 and 52360?

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 52352 and 52360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52352 and 52360, than apply into the LCM equation.

GCF(52352,52360) = 8
LCM(52352,52360) = ( 52352 × 52360) / 8
LCM(52352,52360) = 2741150720 / 8
LCM(52352,52360) = 342643840

Least Common Multiple (LCM) of 52352 and 52360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52352 and 52360. First we will calculate the prime factors of 52352 and 52360.

Prime Factorization of 52352

Prime Factorization of 52360

Now multiplying the highest exponent prime factors to calculate the LCM of 52352 and 52360.

LCM(52352,52360) = 2⁷ × 409¹ × 5¹ × 7¹ × 11¹ × 17¹
LCM(52352,52360) = 342643840