What is the Least Common Multiple of 52752 and 52760?

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 52752 and 52760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52752 and 52760, than apply into the LCM equation.

GCF(52752,52760) = 8
LCM(52752,52760) = ( 52752 × 52760) / 8
LCM(52752,52760) = 2783195520 / 8
LCM(52752,52760) = 347899440

Least Common Multiple (LCM) of 52752 and 52760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52752 and 52760. First we will calculate the prime factors of 52752 and 52760.

Prime Factorization of 52752

Prime Factorization of 52760

Now multiplying the highest exponent prime factors to calculate the LCM of 52752 and 52760.

LCM(52752,52760) = 2⁴ × 3¹ × 7¹ × 157¹ × 5¹ × 1319¹
LCM(52752,52760) = 347899440