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What is the Least Common Multiple of 326 and 341?

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 326 and 341 is 111166.

LCM(326,341) = 111166

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Least Common Multiple of 326 and 341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 326 and 341, than apply into the LCM equation.

GCF(326,341) = 1
LCM(326,341) = ( 326 × 341) / 1
LCM(326,341) = 111166 / 1
LCM(326,341) = 111166

Least Common Multiple (LCM) of 326 and 341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 326 and 341. First we will calculate the prime factors of 326 and 341.

Prime Factorization of 326

Prime factors of 326 are 2, 163. Prime factorization of 326 in exponential form is:

326 = 21 × 1631

Prime Factorization of 341

Prime factors of 341 are 11, 31. Prime factorization of 341 in exponential form is:

341 = 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 326 and 341.

LCM(326,341) = 21 × 1631 × 111 × 311
LCM(326,341) = 111166