What is the Least Common Multiple of 40623 and 40629?

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 40623 and 40629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40623 and 40629, than apply into the LCM equation.

GCF(40623,40629) = 3
LCM(40623,40629) = ( 40623 × 40629) / 3
LCM(40623,40629) = 1650471867 / 3
LCM(40623,40629) = 550157289

Least Common Multiple (LCM) of 40623 and 40629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40623 and 40629. First we will calculate the prime factors of 40623 and 40629.

Prime Factorization of 40623

Prime Factorization of 40629

Now multiplying the highest exponent prime factors to calculate the LCM of 40623 and 40629.

LCM(40623,40629) = 3¹ × 11¹ × 1231¹ × 29¹ × 467¹
LCM(40623,40629) = 550157289