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What is the Least Common Multiple of 26843 and 26862?

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 26843 and 26862 is 721056666.

LCM(26843,26862) = 721056666

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Least Common Multiple of 26843 and 26862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26843 and 26862, than apply into the LCM equation.

GCF(26843,26862) = 1
LCM(26843,26862) = ( 26843 × 26862) / 1
LCM(26843,26862) = 721056666 / 1
LCM(26843,26862) = 721056666

Least Common Multiple (LCM) of 26843 and 26862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26843 and 26862. First we will calculate the prime factors of 26843 and 26862.

Prime Factorization of 26843

Prime factors of 26843 are 17, 1579. Prime factorization of 26843 in exponential form is:

26843 = 171 × 15791

Prime Factorization of 26862

Prime factors of 26862 are 2, 3, 11, 37. Prime factorization of 26862 in exponential form is:

26862 = 21 × 31 × 112 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 26843 and 26862.

LCM(26843,26862) = 171 × 15791 × 21 × 31 × 112 × 371
LCM(26843,26862) = 721056666