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What is the Least Common Multiple of 26849 and 26866?

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 26849 and 26866 is 721325234.

LCM(26849,26866) = 721325234

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Least Common Multiple of 26849 and 26866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26849 and 26866, than apply into the LCM equation.

GCF(26849,26866) = 1
LCM(26849,26866) = ( 26849 × 26866) / 1
LCM(26849,26866) = 721325234 / 1
LCM(26849,26866) = 721325234

Least Common Multiple (LCM) of 26849 and 26866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26849 and 26866. First we will calculate the prime factors of 26849 and 26866.

Prime Factorization of 26849

Prime factors of 26849 are 26849. Prime factorization of 26849 in exponential form is:

26849 = 268491

Prime Factorization of 26866

Prime factors of 26866 are 2, 7, 19, 101. Prime factorization of 26866 in exponential form is:

26866 = 21 × 71 × 191 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 26849 and 26866.

LCM(26849,26866) = 268491 × 21 × 71 × 191 × 1011
LCM(26849,26866) = 721325234