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What is the Least Common Multiple of 1326 and 1341?

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 1326 and 1341 is 592722.

LCM(1326,1341) = 592722

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Least Common Multiple of 1326 and 1341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1326 and 1341, than apply into the LCM equation.

GCF(1326,1341) = 3
LCM(1326,1341) = ( 1326 × 1341) / 3
LCM(1326,1341) = 1778166 / 3
LCM(1326,1341) = 592722

Least Common Multiple (LCM) of 1326 and 1341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1326 and 1341. First we will calculate the prime factors of 1326 and 1341.

Prime Factorization of 1326

Prime factors of 1326 are 2, 3, 13, 17. Prime factorization of 1326 in exponential form is:

1326 = 21 × 31 × 131 × 171

Prime Factorization of 1341

Prime factors of 1341 are 3, 149. Prime factorization of 1341 in exponential form is:

1341 = 32 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 1326 and 1341.

LCM(1326,1341) = 21 × 32 × 131 × 171 × 1491
LCM(1326,1341) = 592722