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What is the Least Common Multiple of 26808 and 26814?

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 26808 and 26814 is 119804952.

LCM(26808,26814) = 119804952

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Least Common Multiple of 26808 and 26814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26808 and 26814, than apply into the LCM equation.

GCF(26808,26814) = 6
LCM(26808,26814) = ( 26808 × 26814) / 6
LCM(26808,26814) = 718829712 / 6
LCM(26808,26814) = 119804952

Least Common Multiple (LCM) of 26808 and 26814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26808 and 26814. First we will calculate the prime factors of 26808 and 26814.

Prime Factorization of 26808

Prime factors of 26808 are 2, 3, 1117. Prime factorization of 26808 in exponential form is:

26808 = 23 × 31 × 11171

Prime Factorization of 26814

Prime factors of 26814 are 2, 3, 41, 109. Prime factorization of 26814 in exponential form is:

26814 = 21 × 31 × 411 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 26808 and 26814.

LCM(26808,26814) = 23 × 31 × 11171 × 411 × 1091
LCM(26808,26814) = 119804952