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What is the Least Common Multiple of 13099 and 13108?

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 13099 and 13108 is 171701692.

LCM(13099,13108) = 171701692

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Least Common Multiple of 13099 and 13108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13099 and 13108, than apply into the LCM equation.

GCF(13099,13108) = 1
LCM(13099,13108) = ( 13099 × 13108) / 1
LCM(13099,13108) = 171701692 / 1
LCM(13099,13108) = 171701692

Least Common Multiple (LCM) of 13099 and 13108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13099 and 13108. First we will calculate the prime factors of 13099 and 13108.

Prime Factorization of 13099

Prime factors of 13099 are 13099. Prime factorization of 13099 in exponential form is:

13099 = 130991

Prime Factorization of 13108

Prime factors of 13108 are 2, 29, 113. Prime factorization of 13108 in exponential form is:

13108 = 22 × 291 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 13099 and 13108.

LCM(13099,13108) = 130991 × 22 × 291 × 1131
LCM(13099,13108) = 171701692