What is the Least Common Multiple of 40200 and 40207?

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 40200 and 40207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40200 and 40207, than apply into the LCM equation.

GCF(40200,40207) = 1
LCM(40200,40207) = ( 40200 × 40207) / 1
LCM(40200,40207) = 1616321400 / 1
LCM(40200,40207) = 1616321400

Least Common Multiple (LCM) of 40200 and 40207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40200 and 40207. First we will calculate the prime factors of 40200 and 40207.

Prime Factorization of 40200

Prime Factorization of 40207

Now multiplying the highest exponent prime factors to calculate the LCM of 40200 and 40207.

LCM(40200,40207) = 2³ × 3¹ × 5² × 67¹ × 31¹ × 1297¹
LCM(40200,40207) = 1616321400