What is the Least Common Multiple of 52744 and 52752?

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 52744 and 52752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52744 and 52752, than apply into the LCM equation.

GCF(52744,52752) = 8
LCM(52744,52752) = ( 52744 × 52752) / 8
LCM(52744,52752) = 2782351488 / 8
LCM(52744,52752) = 347793936

Least Common Multiple (LCM) of 52744 and 52752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52744 and 52752. First we will calculate the prime factors of 52744 and 52752.

Prime Factorization of 52744

Prime Factorization of 52752

Now multiplying the highest exponent prime factors to calculate the LCM of 52744 and 52752.

LCM(52744,52752) = 2⁴ × 19¹ × 347¹ × 3¹ × 7¹ × 157¹
LCM(52744,52752) = 347793936