What is the Least Common Multiple of 35904 and 35912?

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 35912 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 35912, than apply into the LCM equation.

GCF(35904,35912) = 8
LCM(35904,35912) = ( 35904 × 35912) / 8
LCM(35904,35912) = 1289384448 / 8
LCM(35904,35912) = 161173056

Least Common Multiple (LCM) of 35904 and 35912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35904 and 35912. First we will calculate the prime factors of 35904 and 35912.

Prime Factorization of 35904

Prime Factorization of 35912

Now multiplying the highest exponent prime factors to calculate the LCM of 35904 and 35912.

LCM(35904,35912) = 2⁶ × 3¹ × 11¹ × 17¹ × 67²
LCM(35904,35912) = 161173056