What is the Least Common Multiple of 35984 and 36004?

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 35984 and 36004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35984 and 36004, than apply into the LCM equation.

GCF(35984,36004) = 4
LCM(35984,36004) = ( 35984 × 36004) / 4
LCM(35984,36004) = 1295567936 / 4
LCM(35984,36004) = 323891984

Least Common Multiple (LCM) of 35984 and 36004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35984 and 36004. First we will calculate the prime factors of 35984 and 36004.

Prime Factorization of 35984

Prime Factorization of 36004

Now multiplying the highest exponent prime factors to calculate the LCM of 35984 and 36004.

LCM(35984,36004) = 2⁴ × 13¹ × 173¹ × 9001¹
LCM(35984,36004) = 323891984