What is the Least Common Multiple of 47316 and 47335?

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 47316 and 47335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47316 and 47335, than apply into the LCM equation.

GCF(47316,47335) = 1
LCM(47316,47335) = ( 47316 × 47335) / 1
LCM(47316,47335) = 2239702860 / 1
LCM(47316,47335) = 2239702860

Least Common Multiple (LCM) of 47316 and 47335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47316 and 47335. First we will calculate the prime factors of 47316 and 47335.

Prime Factorization of 47316

Prime Factorization of 47335

Now multiplying the highest exponent prime factors to calculate the LCM of 47316 and 47335.

LCM(47316,47335) = 2² × 3¹ × 3943¹ × 5¹ × 9467¹
LCM(47316,47335) = 2239702860