What is the Least Common Multiple of 40185 and 40200?

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 40185 and 40200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40185 and 40200, than apply into the LCM equation.

GCF(40185,40200) = 15
LCM(40185,40200) = ( 40185 × 40200) / 15
LCM(40185,40200) = 1615437000 / 15
LCM(40185,40200) = 107695800

Least Common Multiple (LCM) of 40185 and 40200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40185 and 40200. First we will calculate the prime factors of 40185 and 40200.

Prime Factorization of 40185

Prime Factorization of 40200

Now multiplying the highest exponent prime factors to calculate the LCM of 40185 and 40200.

LCM(40185,40200) = 3² × 5² × 19¹ × 47¹ × 2³ × 67¹
LCM(40185,40200) = 107695800