What is the Least Common Multiple of 8619 and 8623?

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 8619 and 8623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8619 and 8623, than apply into the LCM equation.

GCF(8619,8623) = 1
LCM(8619,8623) = ( 8619 × 8623) / 1
LCM(8619,8623) = 74321637 / 1
LCM(8619,8623) = 74321637

Least Common Multiple (LCM) of 8619 and 8623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8619 and 8623. First we will calculate the prime factors of 8619 and 8623.

Prime Factorization of 8619

Prime Factorization of 8623

Now multiplying the highest exponent prime factors to calculate the LCM of 8619 and 8623.

LCM(8619,8623) = 3¹ × 13² × 17¹ × 8623¹
LCM(8619,8623) = 74321637