What is the Least Common Multiple of 30745 and 30760?

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 30760 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 30760, than apply into the LCM equation.

GCF(30745,30760) = 5
LCM(30745,30760) = ( 30745 × 30760) / 5
LCM(30745,30760) = 945716200 / 5
LCM(30745,30760) = 189143240

Least Common Multiple (LCM) of 30745 and 30760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30745 and 30760. First we will calculate the prime factors of 30745 and 30760.

Prime Factorization of 30745

Prime Factorization of 30760

Now multiplying the highest exponent prime factors to calculate the LCM of 30745 and 30760.

LCM(30745,30760) = 5¹ × 11¹ × 13¹ × 43¹ × 2³ × 769¹
LCM(30745,30760) = 189143240