What is the Least Common Multiple of 17619 and 17635?

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 17619 and 17635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17619 and 17635, than apply into the LCM equation.

GCF(17619,17635) = 1
LCM(17619,17635) = ( 17619 × 17635) / 1
LCM(17619,17635) = 310711065 / 1
LCM(17619,17635) = 310711065

Least Common Multiple (LCM) of 17619 and 17635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17619 and 17635. First we will calculate the prime factors of 17619 and 17635.

Prime Factorization of 17619

Prime Factorization of 17635

Now multiplying the highest exponent prime factors to calculate the LCM of 17619 and 17635.

LCM(17619,17635) = 3¹ × 7¹ × 839¹ × 5¹ × 3527¹
LCM(17619,17635) = 310711065