# Least Common Multiple of 198 and 203

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 (LCM) of 198 and 203 is 40194.

LCM(198,203) = 40194

LCM Calculator and

## Least Common Multiple of 198 and 203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 198 and 203, than apply into the LCM equation.

GCF(198,203) = 1
LCM(198,203) = ( 198 × 203) / 1
LCM(198,203) = 40194 / 1
LCM(198,203) = 40194

## Least Common Multiple (LCM) of 198 and 203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 198 and 203. First we will calculate the prime factors of 198 and 203.

### Prime Factorization of 198

Prime factors of 198 are 2, 3, 11. Prime factorization of 198 in exponential form is:

198 = 21 × 32 × 111

### Prime Factorization of 203

Prime factors of 203 are 7, 29. Prime factorization of 203 in exponential form is:

203 = 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 198 and 203.

LCM(198,203) = 21 × 32 × 111 × 71 × 291
LCM(198,203) = 40194