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What is the Least Common Multiple of 1326 and 1335?

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 1335 is 590070.

LCM(1326,1335) = 590070

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Least Common Multiple of 1326 and 1335 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 1335, than apply into the LCM equation.

GCF(1326,1335) = 3
LCM(1326,1335) = ( 1326 × 1335) / 3
LCM(1326,1335) = 1770210 / 3
LCM(1326,1335) = 590070

Least Common Multiple (LCM) of 1326 and 1335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1326 and 1335. First we will calculate the prime factors of 1326 and 1335.

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 1335

Prime factors of 1335 are 3, 5, 89. Prime factorization of 1335 in exponential form is:

1335 = 31 × 51 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 1326 and 1335.

LCM(1326,1335) = 21 × 31 × 131 × 171 × 51 × 891
LCM(1326,1335) = 590070