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What is the Least Common Multiple of 11026 and 11039?

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 11026 and 11039 is 121716014.

LCM(11026,11039) = 121716014

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Least Common Multiple of 11026 and 11039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11026 and 11039, than apply into the LCM equation.

GCF(11026,11039) = 1
LCM(11026,11039) = ( 11026 × 11039) / 1
LCM(11026,11039) = 121716014 / 1
LCM(11026,11039) = 121716014

Least Common Multiple (LCM) of 11026 and 11039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11026 and 11039. First we will calculate the prime factors of 11026 and 11039.

Prime Factorization of 11026

Prime factors of 11026 are 2, 37, 149. Prime factorization of 11026 in exponential form is:

11026 = 21 × 371 × 1491

Prime Factorization of 11039

Prime factors of 11039 are 7, 19, 83. Prime factorization of 11039 in exponential form is:

11039 = 71 × 191 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 11026 and 11039.

LCM(11026,11039) = 21 × 371 × 1491 × 71 × 191 × 831
LCM(11026,11039) = 121716014