GCF and LCM Calculator Logo

What is the Least Common Multiple of 191 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 191 and 203 is 38773.

LCM(191,203) = 38773

LCM Calculator and
and

Least Common Multiple of 191 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 191 and 203, than apply into the LCM equation.

GCF(191,203) = 1
LCM(191,203) = ( 191 × 203) / 1
LCM(191,203) = 38773 / 1
LCM(191,203) = 38773

Least Common Multiple (LCM) of 191 and 203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 191 and 203. First we will calculate the prime factors of 191 and 203.

Prime Factorization of 191

Prime factors of 191 are 191. Prime factorization of 191 in exponential form is:

191 = 1911

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 191 and 203.

LCM(191,203) = 1911 × 71 × 291
LCM(191,203) = 38773

Please share your comments