What is the Least Common Multiple of 20185 and 20204?

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 20185 and 20204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20185 and 20204, than apply into the LCM equation.

GCF(20185,20204) = 1
LCM(20185,20204) = ( 20185 × 20204) / 1
LCM(20185,20204) = 407817740 / 1
LCM(20185,20204) = 407817740

Least Common Multiple (LCM) of 20185 and 20204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20185 and 20204. First we will calculate the prime factors of 20185 and 20204.

Prime Factorization of 20185

Prime Factorization of 20204

Now multiplying the highest exponent prime factors to calculate the LCM of 20185 and 20204.

LCM(20185,20204) = 5¹ × 11¹ × 367¹ × 2² × 5051¹
LCM(20185,20204) = 407817740