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What is the Least Common Multiple of 13809 and 13815?

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 13809 and 13815 is 63590445.

LCM(13809,13815) = 63590445

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Least Common Multiple of 13809 and 13815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13809 and 13815, than apply into the LCM equation.

GCF(13809,13815) = 3
LCM(13809,13815) = ( 13809 × 13815) / 3
LCM(13809,13815) = 190771335 / 3
LCM(13809,13815) = 63590445

Least Common Multiple (LCM) of 13809 and 13815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13809 and 13815. First we will calculate the prime factors of 13809 and 13815.

Prime Factorization of 13809

Prime factors of 13809 are 3, 4603. Prime factorization of 13809 in exponential form is:

13809 = 31 × 46031

Prime Factorization of 13815

Prime factors of 13815 are 3, 5, 307. Prime factorization of 13815 in exponential form is:

13815 = 32 × 51 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 13809 and 13815.

LCM(13809,13815) = 32 × 46031 × 51 × 3071
LCM(13809,13815) = 63590445