What is the Least Common Multiple of 55728 and 55734?

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 55734 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 55734, than apply into the LCM equation.

GCF(55728,55734) = 6
LCM(55728,55734) = ( 55728 × 55734) / 6
LCM(55728,55734) = 3105944352 / 6
LCM(55728,55734) = 517657392

Least Common Multiple (LCM) of 55728 and 55734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55728 and 55734. First we will calculate the prime factors of 55728 and 55734.

Prime Factorization of 55728

Prime Factorization of 55734

Now multiplying the highest exponent prime factors to calculate the LCM of 55728 and 55734.

LCM(55728,55734) = 2⁴ × 3⁴ × 43¹ × 7¹ × 1327¹
LCM(55728,55734) = 517657392