What is the Least Common Multiple of 35597 and 35608?

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 35597 and 35608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35597 and 35608, than apply into the LCM equation.

GCF(35597,35608) = 1
LCM(35597,35608) = ( 35597 × 35608) / 1
LCM(35597,35608) = 1267537976 / 1
LCM(35597,35608) = 1267537976

Least Common Multiple (LCM) of 35597 and 35608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35597 and 35608. First we will calculate the prime factors of 35597 and 35608.

Prime Factorization of 35597

Prime Factorization of 35608

Now multiplying the highest exponent prime factors to calculate the LCM of 35597 and 35608.

LCM(35597,35608) = 35597¹ × 2³ × 4451¹
LCM(35597,35608) = 1267537976