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What is the Least Common Multiple of 13426 and 13445?

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 13426 and 13445 is 180512570.

LCM(13426,13445) = 180512570

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Least Common Multiple of 13426 and 13445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13426 and 13445, than apply into the LCM equation.

GCF(13426,13445) = 1
LCM(13426,13445) = ( 13426 × 13445) / 1
LCM(13426,13445) = 180512570 / 1
LCM(13426,13445) = 180512570

Least Common Multiple (LCM) of 13426 and 13445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13426 and 13445. First we will calculate the prime factors of 13426 and 13445.

Prime Factorization of 13426

Prime factors of 13426 are 2, 7, 137. Prime factorization of 13426 in exponential form is:

13426 = 21 × 72 × 1371

Prime Factorization of 13445

Prime factors of 13445 are 5, 2689. Prime factorization of 13445 in exponential form is:

13445 = 51 × 26891

Now multiplying the highest exponent prime factors to calculate the LCM of 13426 and 13445.

LCM(13426,13445) = 21 × 72 × 1371 × 51 × 26891
LCM(13426,13445) = 180512570