What is the Least Common Multiple of 56728 and 56735?

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 56728 and 56735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56728 and 56735, than apply into the LCM equation.

GCF(56728,56735) = 7
LCM(56728,56735) = ( 56728 × 56735) / 7
LCM(56728,56735) = 3218463080 / 7
LCM(56728,56735) = 459780440

Least Common Multiple (LCM) of 56728 and 56735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56728 and 56735. First we will calculate the prime factors of 56728 and 56735.

Prime Factorization of 56728

Prime Factorization of 56735

Now multiplying the highest exponent prime factors to calculate the LCM of 56728 and 56735.

LCM(56728,56735) = 2³ × 7¹ × 1013¹ × 5¹ × 1621¹
LCM(56728,56735) = 459780440