What is the Least Common Multiple of 63378 and 63387?

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 63378 and 63387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63378 and 63387, than apply into the LCM equation.

GCF(63378,63387) = 9
LCM(63378,63387) = ( 63378 × 63387) / 9
LCM(63378,63387) = 4017341286 / 9
LCM(63378,63387) = 446371254

Least Common Multiple (LCM) of 63378 and 63387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63378 and 63387. First we will calculate the prime factors of 63378 and 63387.

Prime Factorization of 63378

Prime Factorization of 63387

Now multiplying the highest exponent prime factors to calculate the LCM of 63378 and 63387.

LCM(63378,63387) = 2¹ × 3² × 7¹ × 503¹ × 7043¹
LCM(63378,63387) = 446371254