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What is the Least Common Multiple of 26844 and 26858?

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 26844 and 26858 is 360488076.

LCM(26844,26858) = 360488076

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Least Common Multiple of 26844 and 26858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26844 and 26858, than apply into the LCM equation.

GCF(26844,26858) = 2
LCM(26844,26858) = ( 26844 × 26858) / 2
LCM(26844,26858) = 720976152 / 2
LCM(26844,26858) = 360488076

Least Common Multiple (LCM) of 26844 and 26858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26844 and 26858. First we will calculate the prime factors of 26844 and 26858.

Prime Factorization of 26844

Prime factors of 26844 are 2, 3, 2237. Prime factorization of 26844 in exponential form is:

26844 = 22 × 31 × 22371

Prime Factorization of 26858

Prime factors of 26858 are 2, 13, 1033. Prime factorization of 26858 in exponential form is:

26858 = 21 × 131 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 26844 and 26858.

LCM(26844,26858) = 22 × 31 × 22371 × 131 × 10331
LCM(26844,26858) = 360488076