What is the Least Common Multiple of 30340 and 30345?

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 30340 and 30345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30340 and 30345, than apply into the LCM equation.

GCF(30340,30345) = 5
LCM(30340,30345) = ( 30340 × 30345) / 5
LCM(30340,30345) = 920667300 / 5
LCM(30340,30345) = 184133460

Least Common Multiple (LCM) of 30340 and 30345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30340 and 30345. First we will calculate the prime factors of 30340 and 30345.

Prime Factorization of 30340

Prime Factorization of 30345

Now multiplying the highest exponent prime factors to calculate the LCM of 30340 and 30345.

LCM(30340,30345) = 2² × 5¹ × 37¹ × 41¹ × 3¹ × 7¹ × 17²
LCM(30340,30345) = 184133460