What is the Least Common Multiple of 30129 and 30147?

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 30129 and 30147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30129 and 30147, than apply into the LCM equation.

GCF(30129,30147) = 3
LCM(30129,30147) = ( 30129 × 30147) / 3
LCM(30129,30147) = 908298963 / 3
LCM(30129,30147) = 302766321

Least Common Multiple (LCM) of 30129 and 30147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30129 and 30147. First we will calculate the prime factors of 30129 and 30147.

Prime Factorization of 30129

Prime Factorization of 30147

Now multiplying the highest exponent prime factors to calculate the LCM of 30129 and 30147.

LCM(30129,30147) = 3¹ × 11² × 83¹ × 13¹ × 773¹
LCM(30129,30147) = 302766321