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What is the Least Common Multiple of 13196 and 13211?

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 13196 and 13211 is 174332356.

LCM(13196,13211) = 174332356

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Least Common Multiple of 13196 and 13211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13196 and 13211, than apply into the LCM equation.

GCF(13196,13211) = 1
LCM(13196,13211) = ( 13196 × 13211) / 1
LCM(13196,13211) = 174332356 / 1
LCM(13196,13211) = 174332356

Least Common Multiple (LCM) of 13196 and 13211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13196 and 13211. First we will calculate the prime factors of 13196 and 13211.

Prime Factorization of 13196

Prime factors of 13196 are 2, 3299. Prime factorization of 13196 in exponential form is:

13196 = 22 × 32991

Prime Factorization of 13211

Prime factors of 13211 are 11, 1201. Prime factorization of 13211 in exponential form is:

13211 = 111 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 13196 and 13211.

LCM(13196,13211) = 22 × 32991 × 111 × 12011
LCM(13196,13211) = 174332356