What is the Least Common Multiple of 63735 and 63742?

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 63735 and 63742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63735 and 63742, than apply into the LCM equation.

GCF(63735,63742) = 7
LCM(63735,63742) = ( 63735 × 63742) / 7
LCM(63735,63742) = 4062596370 / 7
LCM(63735,63742) = 580370910

Least Common Multiple (LCM) of 63735 and 63742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63735 and 63742. First we will calculate the prime factors of 63735 and 63742.

Prime Factorization of 63735

Prime Factorization of 63742

Now multiplying the highest exponent prime factors to calculate the LCM of 63735 and 63742.

LCM(63735,63742) = 3¹ × 5¹ × 7¹ × 607¹ × 2¹ × 29¹ × 157¹
LCM(63735,63742) = 580370910