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What is the Least Common Multiple of 13399 and 13413?

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 13399 and 13413 is 179720787.

LCM(13399,13413) = 179720787

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Least Common Multiple of 13399 and 13413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13399 and 13413, than apply into the LCM equation.

GCF(13399,13413) = 1
LCM(13399,13413) = ( 13399 × 13413) / 1
LCM(13399,13413) = 179720787 / 1
LCM(13399,13413) = 179720787

Least Common Multiple (LCM) of 13399 and 13413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13399 and 13413. First we will calculate the prime factors of 13399 and 13413.

Prime Factorization of 13399

Prime factors of 13399 are 13399. Prime factorization of 13399 in exponential form is:

13399 = 133991

Prime Factorization of 13413

Prime factors of 13413 are 3, 17, 263. Prime factorization of 13413 in exponential form is:

13413 = 31 × 171 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 13399 and 13413.

LCM(13399,13413) = 133991 × 31 × 171 × 2631
LCM(13399,13413) = 179720787