What is the Least Common Multiple of 47619 and 47623?

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 47619 and 47623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47619 and 47623, than apply into the LCM equation.

GCF(47619,47623) = 1
LCM(47619,47623) = ( 47619 × 47623) / 1
LCM(47619,47623) = 2267759637 / 1
LCM(47619,47623) = 2267759637

Least Common Multiple (LCM) of 47619 and 47623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47619 and 47623. First we will calculate the prime factors of 47619 and 47623.

Prime Factorization of 47619

Prime Factorization of 47623

Now multiplying the highest exponent prime factors to calculate the LCM of 47619 and 47623.

LCM(47619,47623) = 3² × 11¹ × 13¹ × 37¹ × 47623¹
LCM(47619,47623) = 2267759637