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What is the Least Common Multiple of 12191 and 12196?

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 12191 and 12196 is 148681436.

LCM(12191,12196) = 148681436

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Least Common Multiple of 12191 and 12196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12191 and 12196, than apply into the LCM equation.

GCF(12191,12196) = 1
LCM(12191,12196) = ( 12191 × 12196) / 1
LCM(12191,12196) = 148681436 / 1
LCM(12191,12196) = 148681436

Least Common Multiple (LCM) of 12191 and 12196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12191 and 12196. First we will calculate the prime factors of 12191 and 12196.

Prime Factorization of 12191

Prime factors of 12191 are 73, 167. Prime factorization of 12191 in exponential form is:

12191 = 731 × 1671

Prime Factorization of 12196

Prime factors of 12196 are 2, 3049. Prime factorization of 12196 in exponential form is:

12196 = 22 × 30491

Now multiplying the highest exponent prime factors to calculate the LCM of 12191 and 12196.

LCM(12191,12196) = 731 × 1671 × 22 × 30491
LCM(12191,12196) = 148681436