What is the Least Common Multiple of 40471 and 40489?

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 40471 and 40489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40471 and 40489, than apply into the LCM equation.

GCF(40471,40489) = 1
LCM(40471,40489) = ( 40471 × 40489) / 1
LCM(40471,40489) = 1638630319 / 1
LCM(40471,40489) = 1638630319

Least Common Multiple (LCM) of 40471 and 40489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40471 and 40489. First we will calculate the prime factors of 40471 and 40489.

Prime Factorization of 40471

Prime Factorization of 40489

Now multiplying the highest exponent prime factors to calculate the LCM of 40471 and 40489.

LCM(40471,40489) = 40471¹ × 19¹ × 2131¹
LCM(40471,40489) = 1638630319