What is the Least Common Multiple of 40200 and 40219?

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 40219 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 40219, than apply into the LCM equation.

GCF(40200,40219) = 1
LCM(40200,40219) = ( 40200 × 40219) / 1
LCM(40200,40219) = 1616803800 / 1
LCM(40200,40219) = 1616803800

Least Common Multiple (LCM) of 40200 and 40219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40200 and 40219. First we will calculate the prime factors of 40200 and 40219.

Prime Factorization of 40200

Prime Factorization of 40219

Now multiplying the highest exponent prime factors to calculate the LCM of 40200 and 40219.

LCM(40200,40219) = 2³ × 3¹ × 5² × 67¹ × 37¹ × 1087¹
LCM(40200,40219) = 1616803800