What is the Least Common Multiple of 40185 and 40204?

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 40204 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 40204, than apply into the LCM equation.

GCF(40185,40204) = 19
LCM(40185,40204) = ( 40185 × 40204) / 19
LCM(40185,40204) = 1615597740 / 19
LCM(40185,40204) = 85031460

Least Common Multiple (LCM) of 40185 and 40204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40185 and 40204. First we will calculate the prime factors of 40185 and 40204.

Prime Factorization of 40185

Prime Factorization of 40204

Now multiplying the highest exponent prime factors to calculate the LCM of 40185 and 40204.

LCM(40185,40204) = 3² × 5¹ × 19¹ × 47¹ × 2² × 23²
LCM(40185,40204) = 85031460