What is the Least Common Multiple of 47628 and 47643?

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 47628 and 47643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47628 and 47643, than apply into the LCM equation.

GCF(47628,47643) = 3
LCM(47628,47643) = ( 47628 × 47643) / 3
LCM(47628,47643) = 2269140804 / 3
LCM(47628,47643) = 756380268

Least Common Multiple (LCM) of 47628 and 47643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47628 and 47643. First we will calculate the prime factors of 47628 and 47643.

Prime Factorization of 47628

Prime Factorization of 47643

Now multiplying the highest exponent prime factors to calculate the LCM of 47628 and 47643.

LCM(47628,47643) = 2² × 3⁵ × 7² × 15881¹
LCM(47628,47643) = 756380268