What is the Least Common Multiple of 35904 and 35913?

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 35904 and 35913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35904 and 35913, than apply into the LCM equation.

GCF(35904,35913) = 3
LCM(35904,35913) = ( 35904 × 35913) / 3
LCM(35904,35913) = 1289420352 / 3
LCM(35904,35913) = 429806784

Least Common Multiple (LCM) of 35904 and 35913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35904 and 35913. First we will calculate the prime factors of 35904 and 35913.

Prime Factorization of 35904

Prime Factorization of 35913

Now multiplying the highest exponent prime factors to calculate the LCM of 35904 and 35913.

LCM(35904,35913) = 2⁶ × 3¹ × 11¹ × 17¹ × 11971¹
LCM(35904,35913) = 429806784