What is the Least Common Multiple of 17613 and 17629?

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 17613 and 17629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17613 and 17629, than apply into the LCM equation.

GCF(17613,17629) = 1
LCM(17613,17629) = ( 17613 × 17629) / 1
LCM(17613,17629) = 310499577 / 1
LCM(17613,17629) = 310499577

Least Common Multiple (LCM) of 17613 and 17629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17613 and 17629. First we will calculate the prime factors of 17613 and 17629.

Prime Factorization of 17613

Prime Factorization of 17629

Now multiplying the highest exponent prime factors to calculate the LCM of 17613 and 17629.

LCM(17613,17629) = 3² × 19¹ × 103¹ × 17² × 61¹
LCM(17613,17629) = 310499577