What is the Least Common Multiple of 30745 and 30756?

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 30745 and 30756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30745 and 30756, than apply into the LCM equation.

GCF(30745,30756) = 11
LCM(30745,30756) = ( 30745 × 30756) / 11
LCM(30745,30756) = 945593220 / 11
LCM(30745,30756) = 85963020

Least Common Multiple (LCM) of 30745 and 30756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30745 and 30756. First we will calculate the prime factors of 30745 and 30756.

Prime Factorization of 30745

Prime Factorization of 30756

Now multiplying the highest exponent prime factors to calculate the LCM of 30745 and 30756.

LCM(30745,30756) = 5¹ × 11¹ × 13¹ × 43¹ × 2² × 3¹ × 233¹
LCM(30745,30756) = 85963020