What is the Least Common Multiple of 63728 and 63735?

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 63728 and 63735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63728 and 63735, than apply into the LCM equation.

GCF(63728,63735) = 7
LCM(63728,63735) = ( 63728 × 63735) / 7
LCM(63728,63735) = 4061704080 / 7
LCM(63728,63735) = 580243440

Least Common Multiple (LCM) of 63728 and 63735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63728 and 63735. First we will calculate the prime factors of 63728 and 63735.

Prime Factorization of 63728

Prime Factorization of 63735

Now multiplying the highest exponent prime factors to calculate the LCM of 63728 and 63735.

LCM(63728,63735) = 2⁴ × 7¹ × 569¹ × 3¹ × 5¹ × 607¹
LCM(63728,63735) = 580243440