What is the Least Common Multiple of 55728 and 55743?

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 55743 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 55743, than apply into the LCM equation.

GCF(55728,55743) = 3
LCM(55728,55743) = ( 55728 × 55743) / 3
LCM(55728,55743) = 3106445904 / 3
LCM(55728,55743) = 1035481968

Least Common Multiple (LCM) of 55728 and 55743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55728 and 55743. First we will calculate the prime factors of 55728 and 55743.

Prime Factorization of 55728

Prime Factorization of 55743

Now multiplying the highest exponent prime factors to calculate the LCM of 55728 and 55743.

LCM(55728,55743) = 2⁴ × 3⁴ × 43¹ × 17¹ × 1093¹
LCM(55728,55743) = 1035481968