What is the Least Common Multiple of 47397 and 47412?

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 47397 and 47412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47397 and 47412, than apply into the LCM equation.

GCF(47397,47412) = 3
LCM(47397,47412) = ( 47397 × 47412) / 3
LCM(47397,47412) = 2247186564 / 3
LCM(47397,47412) = 749062188

Least Common Multiple (LCM) of 47397 and 47412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47397 and 47412. First we will calculate the prime factors of 47397 and 47412.

Prime Factorization of 47397

Prime Factorization of 47412

Now multiplying the highest exponent prime factors to calculate the LCM of 47397 and 47412.

LCM(47397,47412) = 3³ × 7¹ × 37¹ × 61¹ × 2² × 439¹
LCM(47397,47412) = 749062188