What is the Least Common Multiple of 14619 and 14631?

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 14619 and 14631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14619 and 14631, than apply into the LCM equation.

GCF(14619,14631) = 3
LCM(14619,14631) = ( 14619 × 14631) / 3
LCM(14619,14631) = 213890589 / 3
LCM(14619,14631) = 71296863

Least Common Multiple (LCM) of 14619 and 14631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14619 and 14631. First we will calculate the prime factors of 14619 and 14631.

Prime Factorization of 14619

Prime Factorization of 14631

Now multiplying the highest exponent prime factors to calculate the LCM of 14619 and 14631.

LCM(14619,14631) = 3¹ × 11¹ × 443¹ × 4877¹
LCM(14619,14631) = 71296863