What is the Least Common Multiple of 63438 and 63444?

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 63438 and 63444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63438 and 63444, than apply into the LCM equation.

GCF(63438,63444) = 6
LCM(63438,63444) = ( 63438 × 63444) / 6
LCM(63438,63444) = 4024760472 / 6
LCM(63438,63444) = 670793412

Least Common Multiple (LCM) of 63438 and 63444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63438 and 63444. First we will calculate the prime factors of 63438 and 63444.

Prime Factorization of 63438

Prime Factorization of 63444

Now multiplying the highest exponent prime factors to calculate the LCM of 63438 and 63444.

LCM(63438,63444) = 2² × 3¹ × 97¹ × 109¹ × 17¹ × 311¹
LCM(63438,63444) = 670793412