What is the Least Common Multiple of 55740 and 55752?

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 55740 and 55752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55740 and 55752, than apply into the LCM equation.

GCF(55740,55752) = 12
LCM(55740,55752) = ( 55740 × 55752) / 12
LCM(55740,55752) = 3107616480 / 12
LCM(55740,55752) = 258968040

Least Common Multiple (LCM) of 55740 and 55752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55740 and 55752. First we will calculate the prime factors of 55740 and 55752.

Prime Factorization of 55740

Prime Factorization of 55752

Now multiplying the highest exponent prime factors to calculate the LCM of 55740 and 55752.

LCM(55740,55752) = 2³ × 3¹ × 5¹ × 929¹ × 23¹ × 101¹
LCM(55740,55752) = 258968040