What is the Least Common Multiple of 39605 and 39623?

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 39605 and 39623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39605 and 39623, than apply into the LCM equation.

GCF(39605,39623) = 1
LCM(39605,39623) = ( 39605 × 39623) / 1
LCM(39605,39623) = 1569268915 / 1
LCM(39605,39623) = 1569268915

Least Common Multiple (LCM) of 39605 and 39623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39605 and 39623. First we will calculate the prime factors of 39605 and 39623.

Prime Factorization of 39605

Prime Factorization of 39623

Now multiplying the highest exponent prime factors to calculate the LCM of 39605 and 39623.

LCM(39605,39623) = 5¹ × 89² × 39623¹
LCM(39605,39623) = 1569268915