What is the Least Common Multiple of 55728 and 55746?

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 55746 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 55746, than apply into the LCM equation.

GCF(55728,55746) = 18
LCM(55728,55746) = ( 55728 × 55746) / 18
LCM(55728,55746) = 3106613088 / 18
LCM(55728,55746) = 172589616

Least Common Multiple (LCM) of 55728 and 55746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55728 and 55746. First we will calculate the prime factors of 55728 and 55746.

Prime Factorization of 55728

Prime Factorization of 55746

Now multiplying the highest exponent prime factors to calculate the LCM of 55728 and 55746.

LCM(55728,55746) = 2⁴ × 3⁴ × 43¹ × 19¹ × 163¹
LCM(55728,55746) = 172589616