GCF and LCM Calculator Logo

What is the Least Common Multiple of 191 and 196?

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 196 is 37436.

LCM(191,196) = 37436

LCM Calculator and
and

Least Common Multiple of 191 and 196 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 196, than apply into the LCM equation.

GCF(191,196) = 1
LCM(191,196) = ( 191 × 196) / 1
LCM(191,196) = 37436 / 1
LCM(191,196) = 37436

Least Common Multiple (LCM) of 191 and 196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 191 and 196. First we will calculate the prime factors of 191 and 196.

Prime Factorization of 191

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

191 = 1911

Prime Factorization of 196

Prime factors of 196 are 2, 7. Prime factorization of 196 in exponential form is:

196 = 22 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 191 and 196.

LCM(191,196) = 1911 × 22 × 72
LCM(191,196) = 37436

Please share your comments