What is the Least Common Multiple of 47340 and 47355?

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 47340 and 47355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47340 and 47355, than apply into the LCM equation.

GCF(47340,47355) = 15
LCM(47340,47355) = ( 47340 × 47355) / 15
LCM(47340,47355) = 2241785700 / 15
LCM(47340,47355) = 149452380

Least Common Multiple (LCM) of 47340 and 47355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47340 and 47355. First we will calculate the prime factors of 47340 and 47355.

Prime Factorization of 47340

Prime Factorization of 47355

Now multiplying the highest exponent prime factors to calculate the LCM of 47340 and 47355.

LCM(47340,47355) = 2² × 3² × 5¹ × 263¹ × 7¹ × 11¹ × 41¹
LCM(47340,47355) = 149452380