What is the Least Common Multiple of 30051 and 30063?

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 30051 and 30063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30051 and 30063, than apply into the LCM equation.

GCF(30051,30063) = 3
LCM(30051,30063) = ( 30051 × 30063) / 3
LCM(30051,30063) = 903423213 / 3
LCM(30051,30063) = 301141071

Least Common Multiple (LCM) of 30051 and 30063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30051 and 30063. First we will calculate the prime factors of 30051 and 30063.

Prime Factorization of 30051

Prime Factorization of 30063

Now multiplying the highest exponent prime factors to calculate the LCM of 30051 and 30063.

LCM(30051,30063) = 3⁴ × 7¹ × 53¹ × 11¹ × 911¹
LCM(30051,30063) = 301141071