What is the Least Common Multiple of 63363 and 63375?

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 63363 and 63375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63363 and 63375, than apply into the LCM equation.

GCF(63363,63375) = 3
LCM(63363,63375) = ( 63363 × 63375) / 3
LCM(63363,63375) = 4015630125 / 3
LCM(63363,63375) = 1338543375

Least Common Multiple (LCM) of 63363 and 63375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63363 and 63375. First we will calculate the prime factors of 63363 and 63375.

Prime Factorization of 63363

Prime Factorization of 63375

Now multiplying the highest exponent prime factors to calculate the LCM of 63363 and 63375.

LCM(63363,63375) = 3¹ × 21121¹ × 5³ × 13²
LCM(63363,63375) = 1338543375