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What is the Least Common Multiple of 17619 and 17626?

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 17619 and 17626 is 44364642.

LCM(17619,17626) = 44364642

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Least Common Multiple of 17619 and 17626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17619 and 17626, than apply into the LCM equation.

GCF(17619,17626) = 7
LCM(17619,17626) = ( 17619 × 17626) / 7
LCM(17619,17626) = 310552494 / 7
LCM(17619,17626) = 44364642

Least Common Multiple (LCM) of 17619 and 17626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17619 and 17626. First we will calculate the prime factors of 17619 and 17626.

Prime Factorization of 17619

Prime factors of 17619 are 3, 7, 839. Prime factorization of 17619 in exponential form is:

17619 = 31 × 71 × 8391

Prime Factorization of 17626

Prime factors of 17626 are 2, 7, 1259. Prime factorization of 17626 in exponential form is:

17626 = 21 × 71 × 12591

Now multiplying the highest exponent prime factors to calculate the LCM of 17619 and 17626.

LCM(17619,17626) = 31 × 71 × 8391 × 21 × 12591
LCM(17619,17626) = 44364642