What is the Least Common Multiple of 30726 and 30741?

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 30726 and 30741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30726 and 30741, than apply into the LCM equation.

GCF(30726,30741) = 3
LCM(30726,30741) = ( 30726 × 30741) / 3
LCM(30726,30741) = 944547966 / 3
LCM(30726,30741) = 314849322

Least Common Multiple (LCM) of 30726 and 30741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30726 and 30741. First we will calculate the prime factors of 30726 and 30741.

Prime Factorization of 30726

Prime Factorization of 30741

Now multiplying the highest exponent prime factors to calculate the LCM of 30726 and 30741.

LCM(30726,30741) = 2¹ × 3³ × 569¹ × 10247¹
LCM(30726,30741) = 314849322