What is the Least Common Multiple of 30740 and 30745?

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 30740 and 30745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30740 and 30745, than apply into the LCM equation.

GCF(30740,30745) = 5
LCM(30740,30745) = ( 30740 × 30745) / 5
LCM(30740,30745) = 945101300 / 5
LCM(30740,30745) = 189020260

Least Common Multiple (LCM) of 30740 and 30745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30740 and 30745. First we will calculate the prime factors of 30740 and 30745.

Prime Factorization of 30740

Prime Factorization of 30745

Now multiplying the highest exponent prime factors to calculate the LCM of 30740 and 30745.

LCM(30740,30745) = 2² × 5¹ × 29¹ × 53¹ × 11¹ × 13¹ × 43¹
LCM(30740,30745) = 189020260