What is the Least Common Multiple of 63744 and 63756?

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 63744 and 63756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63744 and 63756, than apply into the LCM equation.

GCF(63744,63756) = 12
LCM(63744,63756) = ( 63744 × 63756) / 12
LCM(63744,63756) = 4064062464 / 12
LCM(63744,63756) = 338671872

Least Common Multiple (LCM) of 63744 and 63756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63744 and 63756. First we will calculate the prime factors of 63744 and 63756.

Prime Factorization of 63744

Prime Factorization of 63756

Now multiplying the highest exponent prime factors to calculate the LCM of 63744 and 63756.

LCM(63744,63756) = 2⁸ × 3² × 83¹ × 7¹ × 11¹ × 23¹
LCM(63744,63756) = 338671872