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What is the Least Common Multiple of 13365 and 13377?

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 13365 and 13377 is 59594535.

LCM(13365,13377) = 59594535

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Least Common Multiple of 13365 and 13377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13365 and 13377, than apply into the LCM equation.

GCF(13365,13377) = 3
LCM(13365,13377) = ( 13365 × 13377) / 3
LCM(13365,13377) = 178783605 / 3
LCM(13365,13377) = 59594535

Least Common Multiple (LCM) of 13365 and 13377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13365 and 13377. First we will calculate the prime factors of 13365 and 13377.

Prime Factorization of 13365

Prime factors of 13365 are 3, 5, 11. Prime factorization of 13365 in exponential form is:

13365 = 35 × 51 × 111

Prime Factorization of 13377

Prime factors of 13377 are 3, 7, 13. Prime factorization of 13377 in exponential form is:

13377 = 31 × 73 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 13365 and 13377.

LCM(13365,13377) = 35 × 51 × 111 × 73 × 131
LCM(13365,13377) = 59594535