What is the Least Common Multiple of 20190 and 20194?

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 20190 and 20194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20190 and 20194, than apply into the LCM equation.

GCF(20190,20194) = 2
LCM(20190,20194) = ( 20190 × 20194) / 2
LCM(20190,20194) = 407716860 / 2
LCM(20190,20194) = 203858430

Least Common Multiple (LCM) of 20190 and 20194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20190 and 20194. First we will calculate the prime factors of 20190 and 20194.

Prime Factorization of 20190

Prime Factorization of 20194

Now multiplying the highest exponent prime factors to calculate the LCM of 20190 and 20194.

LCM(20190,20194) = 2¹ × 3¹ × 5¹ × 673¹ × 23¹ × 439¹
LCM(20190,20194) = 203858430