What is the Least Common Multiple of 47412 and 47428?

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 47412 and 47428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47412 and 47428, than apply into the LCM equation.

GCF(47412,47428) = 4
LCM(47412,47428) = ( 47412 × 47428) / 4
LCM(47412,47428) = 2248656336 / 4
LCM(47412,47428) = 562164084

Least Common Multiple (LCM) of 47412 and 47428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47412 and 47428. First we will calculate the prime factors of 47412 and 47428.

Prime Factorization of 47412

Prime Factorization of 47428

Now multiplying the highest exponent prime factors to calculate the LCM of 47412 and 47428.

LCM(47412,47428) = 2² × 3³ × 439¹ × 71¹ × 167¹
LCM(47412,47428) = 562164084