What is the Least Common Multiple of 20189 and 20199?

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 20189 and 20199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20189 and 20199, than apply into the LCM equation.

GCF(20189,20199) = 1
LCM(20189,20199) = ( 20189 × 20199) / 1
LCM(20189,20199) = 407797611 / 1
LCM(20189,20199) = 407797611

Least Common Multiple (LCM) of 20189 and 20199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20189 and 20199. First we will calculate the prime factors of 20189 and 20199.

Prime Factorization of 20189

Prime Factorization of 20199

Now multiplying the highest exponent prime factors to calculate the LCM of 20189 and 20199.

LCM(20189,20199) = 13¹ × 1553¹ × 3¹ × 6733¹
LCM(20189,20199) = 407797611