What is the Least Common Multiple of 55728 and 55742?

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 55742 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 55742, than apply into the LCM equation.

GCF(55728,55742) = 2
LCM(55728,55742) = ( 55728 × 55742) / 2
LCM(55728,55742) = 3106390176 / 2
LCM(55728,55742) = 1553195088

Least Common Multiple (LCM) of 55728 and 55742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55728 and 55742. First we will calculate the prime factors of 55728 and 55742.

Prime Factorization of 55728

Prime Factorization of 55742

Now multiplying the highest exponent prime factors to calculate the LCM of 55728 and 55742.

LCM(55728,55742) = 2⁴ × 3⁴ × 43¹ × 47¹ × 593¹
LCM(55728,55742) = 1553195088