What is the Least Common Multiple of 63456 and 63472?

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 63456 and 63472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63456 and 63472, than apply into the LCM equation.

GCF(63456,63472) = 16
LCM(63456,63472) = ( 63456 × 63472) / 16
LCM(63456,63472) = 4027679232 / 16
LCM(63456,63472) = 251729952

Least Common Multiple (LCM) of 63456 and 63472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63456 and 63472. First we will calculate the prime factors of 63456 and 63472.

Prime Factorization of 63456

Prime Factorization of 63472

Now multiplying the highest exponent prime factors to calculate the LCM of 63456 and 63472.

LCM(63456,63472) = 2⁵ × 3¹ × 661¹ × 3967¹
LCM(63456,63472) = 251729952