What is the Least Common Multiple of 30643 and 30659?

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 30643 and 30659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30643 and 30659, than apply into the LCM equation.

GCF(30643,30659) = 1
LCM(30643,30659) = ( 30643 × 30659) / 1
LCM(30643,30659) = 939483737 / 1
LCM(30643,30659) = 939483737

Least Common Multiple (LCM) of 30643 and 30659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30643 and 30659. First we will calculate the prime factors of 30643 and 30659.

Prime Factorization of 30643

Prime Factorization of 30659

Now multiplying the highest exponent prime factors to calculate the LCM of 30643 and 30659.

LCM(30643,30659) = 30643¹ × 23¹ × 31¹ × 43¹
LCM(30643,30659) = 939483737