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What is the Least Common Multiple of 13469 and 13479?

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 13469 and 13479 is 181548651.

LCM(13469,13479) = 181548651

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Least Common Multiple of 13469 and 13479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13469 and 13479, than apply into the LCM equation.

GCF(13469,13479) = 1
LCM(13469,13479) = ( 13469 × 13479) / 1
LCM(13469,13479) = 181548651 / 1
LCM(13469,13479) = 181548651

Least Common Multiple (LCM) of 13469 and 13479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13469 and 13479. First we will calculate the prime factors of 13469 and 13479.

Prime Factorization of 13469

Prime factors of 13469 are 13469. Prime factorization of 13469 in exponential form is:

13469 = 134691

Prime Factorization of 13479

Prime factors of 13479 are 3, 4493. Prime factorization of 13479 in exponential form is:

13479 = 31 × 44931

Now multiplying the highest exponent prime factors to calculate the LCM of 13469 and 13479.

LCM(13469,13479) = 134691 × 31 × 44931
LCM(13469,13479) = 181548651