What is the Least Common Multiple of 63648 and 63663?

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 63648 and 63663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63648 and 63663, than apply into the LCM equation.

GCF(63648,63663) = 3
LCM(63648,63663) = ( 63648 × 63663) / 3
LCM(63648,63663) = 4052022624 / 3
LCM(63648,63663) = 1350674208

Least Common Multiple (LCM) of 63648 and 63663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63648 and 63663. First we will calculate the prime factors of 63648 and 63663.

Prime Factorization of 63648

Prime Factorization of 63663

Now multiplying the highest exponent prime factors to calculate the LCM of 63648 and 63663.

LCM(63648,63663) = 2⁵ × 3² × 13¹ × 17¹ × 21221¹
LCM(63648,63663) = 1350674208