What is the Least Common Multiple of 63051 and 63063?

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 63051 and 63063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63051 and 63063, than apply into the LCM equation.

GCF(63051,63063) = 3
LCM(63051,63063) = ( 63051 × 63063) / 3
LCM(63051,63063) = 3976185213 / 3
LCM(63051,63063) = 1325395071

Least Common Multiple (LCM) of 63051 and 63063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63051 and 63063. First we will calculate the prime factors of 63051 and 63063.

Prime Factorization of 63051

Prime Factorization of 63063

Now multiplying the highest exponent prime factors to calculate the LCM of 63051 and 63063.

LCM(63051,63063) = 3² × 21017¹ × 7² × 11¹ × 13¹
LCM(63051,63063) = 1325395071