What is the Least Common Multiple of 35909 and 35917?

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 35917 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 35917, than apply into the LCM equation.

GCF(35909,35917) = 1
LCM(35909,35917) = ( 35909 × 35917) / 1
LCM(35909,35917) = 1289743553 / 1
LCM(35909,35917) = 1289743553

Least Common Multiple (LCM) of 35909 and 35917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35909 and 35917. First we will calculate the prime factors of 35909 and 35917.

Prime Factorization of 35909

Prime Factorization of 35917

Now multiplying the highest exponent prime factors to calculate the LCM of 35909 and 35917.

LCM(35909,35917) = 149¹ × 241¹ × 7² × 733¹
LCM(35909,35917) = 1289743553