What is the Least Common Multiple of 63732 and 63744?

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 63732 and 63744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63732 and 63744, than apply into the LCM equation.

GCF(63732,63744) = 12
LCM(63732,63744) = ( 63732 × 63744) / 12
LCM(63732,63744) = 4062532608 / 12
LCM(63732,63744) = 338544384

Least Common Multiple (LCM) of 63732 and 63744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63732 and 63744. First we will calculate the prime factors of 63732 and 63744.

Prime Factorization of 63732

Prime Factorization of 63744

Now multiplying the highest exponent prime factors to calculate the LCM of 63732 and 63744.

LCM(63732,63744) = 2⁸ × 3¹ × 47¹ × 113¹ × 83¹
LCM(63732,63744) = 338544384