What is the Least Common Multiple of 55752 and 55760?

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 55752 and 55760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55752 and 55760, than apply into the LCM equation.

GCF(55752,55760) = 8
LCM(55752,55760) = ( 55752 × 55760) / 8
LCM(55752,55760) = 3108731520 / 8
LCM(55752,55760) = 388591440

Least Common Multiple (LCM) of 55752 and 55760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55752 and 55760. First we will calculate the prime factors of 55752 and 55760.

Prime Factorization of 55752

Prime Factorization of 55760

Now multiplying the highest exponent prime factors to calculate the LCM of 55752 and 55760.

LCM(55752,55760) = 2⁴ × 3¹ × 23¹ × 101¹ × 5¹ × 17¹ × 41¹
LCM(55752,55760) = 388591440