What is the Least Common Multiple of 23629 and 23643?

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 23629 and 23643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23629 and 23643, than apply into the LCM equation.

GCF(23629,23643) = 1
LCM(23629,23643) = ( 23629 × 23643) / 1
LCM(23629,23643) = 558660447 / 1
LCM(23629,23643) = 558660447

Least Common Multiple (LCM) of 23629 and 23643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23629 and 23643. First we will calculate the prime factors of 23629 and 23643.

Prime Factorization of 23629

Prime Factorization of 23643

Now multiplying the highest exponent prime factors to calculate the LCM of 23629 and 23643.

LCM(23629,23643) = 23629¹ × 3² × 37¹ × 71¹
LCM(23629,23643) = 558660447