What is the Least Common Multiple of 40200 and 40213?

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 40213 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 40213, than apply into the LCM equation.

GCF(40200,40213) = 1
LCM(40200,40213) = ( 40200 × 40213) / 1
LCM(40200,40213) = 1616562600 / 1
LCM(40200,40213) = 1616562600

Least Common Multiple (LCM) of 40200 and 40213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40200 and 40213. First we will calculate the prime factors of 40200 and 40213.

Prime Factorization of 40200

Prime Factorization of 40213

Now multiplying the highest exponent prime factors to calculate the LCM of 40200 and 40213.

LCM(40200,40213) = 2³ × 3¹ × 5² × 67¹ × 40213¹
LCM(40200,40213) = 1616562600