What is the Least Common Multiple of 63792 and 63810?

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 63792 and 63810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63792 and 63810, than apply into the LCM equation.

GCF(63792,63810) = 18
LCM(63792,63810) = ( 63792 × 63810) / 18
LCM(63792,63810) = 4070567520 / 18
LCM(63792,63810) = 226142640

Least Common Multiple (LCM) of 63792 and 63810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63792 and 63810. First we will calculate the prime factors of 63792 and 63810.

Prime Factorization of 63792

Prime Factorization of 63810

Now multiplying the highest exponent prime factors to calculate the LCM of 63792 and 63810.

LCM(63792,63810) = 2⁴ × 3² × 443¹ × 5¹ × 709¹
LCM(63792,63810) = 226142640