What is the Least Common Multiple of 47616 and 47628?

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 47616 and 47628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47616 and 47628, than apply into the LCM equation.

GCF(47616,47628) = 12
LCM(47616,47628) = ( 47616 × 47628) / 12
LCM(47616,47628) = 2267854848 / 12
LCM(47616,47628) = 188987904

Least Common Multiple (LCM) of 47616 and 47628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47616 and 47628. First we will calculate the prime factors of 47616 and 47628.

Prime Factorization of 47616

Prime Factorization of 47628

Now multiplying the highest exponent prime factors to calculate the LCM of 47616 and 47628.

LCM(47616,47628) = 2⁹ × 3⁵ × 31¹ × 7²
LCM(47616,47628) = 188987904