What is the Least Common Multiple of 63714 and 63728?

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 63714 and 63728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63714 and 63728, than apply into the LCM equation.

GCF(63714,63728) = 14
LCM(63714,63728) = ( 63714 × 63728) / 14
LCM(63714,63728) = 4060365792 / 14
LCM(63714,63728) = 290026128

Least Common Multiple (LCM) of 63714 and 63728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63714 and 63728. First we will calculate the prime factors of 63714 and 63728.

Prime Factorization of 63714

Prime Factorization of 63728

Now multiplying the highest exponent prime factors to calculate the LCM of 63714 and 63728.

LCM(63714,63728) = 2⁴ × 3¹ × 7¹ × 37¹ × 41¹ × 569¹
LCM(63714,63728) = 290026128