What is the Least Common Multiple of 36024 and 36031?

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 36024 and 36031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36024 and 36031, than apply into the LCM equation.

GCF(36024,36031) = 1
LCM(36024,36031) = ( 36024 × 36031) / 1
LCM(36024,36031) = 1297980744 / 1
LCM(36024,36031) = 1297980744

Least Common Multiple (LCM) of 36024 and 36031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36024 and 36031. First we will calculate the prime factors of 36024 and 36031.

Prime Factorization of 36024

Prime Factorization of 36031

Now multiplying the highest exponent prime factors to calculate the LCM of 36024 and 36031.

LCM(36024,36031) = 2³ × 3¹ × 19¹ × 79¹ × 137¹ × 263¹
LCM(36024,36031) = 1297980744