What is the Least Common Multiple of 55728 and 55738?

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 55728 and 55738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55728 and 55738, than apply into the LCM equation.

GCF(55728,55738) = 2
LCM(55728,55738) = ( 55728 × 55738) / 2
LCM(55728,55738) = 3106167264 / 2
LCM(55728,55738) = 1553083632

Least Common Multiple (LCM) of 55728 and 55738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55728 and 55738. First we will calculate the prime factors of 55728 and 55738.

Prime Factorization of 55728

Prime Factorization of 55738

Now multiplying the highest exponent prime factors to calculate the LCM of 55728 and 55738.

LCM(55728,55738) = 2⁴ × 3⁴ × 43¹ × 29¹ × 31²
LCM(55728,55738) = 1553083632