What is the Least Common Multiple of 63642 and 63648?

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 63642 and 63648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63642 and 63648, than apply into the LCM equation.

GCF(63642,63648) = 6
LCM(63642,63648) = ( 63642 × 63648) / 6
LCM(63642,63648) = 4050686016 / 6
LCM(63642,63648) = 675114336

Least Common Multiple (LCM) of 63642 and 63648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63642 and 63648. First we will calculate the prime factors of 63642 and 63648.

Prime Factorization of 63642

Prime Factorization of 63648

Now multiplying the highest exponent prime factors to calculate the LCM of 63642 and 63648.

LCM(63642,63648) = 2⁵ × 3² × 10607¹ × 13¹ × 17¹
LCM(63642,63648) = 675114336