What is the Least Common Multiple of 40375 and 40384?

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 40375 and 40384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40375 and 40384, than apply into the LCM equation.

GCF(40375,40384) = 1
LCM(40375,40384) = ( 40375 × 40384) / 1
LCM(40375,40384) = 1630504000 / 1
LCM(40375,40384) = 1630504000

Least Common Multiple (LCM) of 40375 and 40384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40375 and 40384. First we will calculate the prime factors of 40375 and 40384.

Prime Factorization of 40375

Prime Factorization of 40384

Now multiplying the highest exponent prime factors to calculate the LCM of 40375 and 40384.

LCM(40375,40384) = 5³ × 17¹ × 19¹ × 2⁶ × 631¹
LCM(40375,40384) = 1630504000