What is the Least Common Multiple of 35909 and 35918?

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 35909 and 35918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35909 and 35918, than apply into the LCM equation.

GCF(35909,35918) = 1
LCM(35909,35918) = ( 35909 × 35918) / 1
LCM(35909,35918) = 1289779462 / 1
LCM(35909,35918) = 1289779462

Least Common Multiple (LCM) of 35909 and 35918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35909 and 35918. First we will calculate the prime factors of 35909 and 35918.

Prime Factorization of 35909

Prime Factorization of 35918

Now multiplying the highest exponent prime factors to calculate the LCM of 35909 and 35918.

LCM(35909,35918) = 149¹ × 241¹ × 2¹ × 17959¹
LCM(35909,35918) = 1289779462