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What is the Least Common Multiple of 26866 and 26872?

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 26866 and 26872 is 360971576.

LCM(26866,26872) = 360971576

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Least Common Multiple of 26866 and 26872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26866 and 26872, than apply into the LCM equation.

GCF(26866,26872) = 2
LCM(26866,26872) = ( 26866 × 26872) / 2
LCM(26866,26872) = 721943152 / 2
LCM(26866,26872) = 360971576

Least Common Multiple (LCM) of 26866 and 26872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26866 and 26872. First we will calculate the prime factors of 26866 and 26872.

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

Prime Factorization of 26872

Prime factors of 26872 are 2, 3359. Prime factorization of 26872 in exponential form is:

26872 = 23 × 33591

Now multiplying the highest exponent prime factors to calculate the LCM of 26866 and 26872.

LCM(26866,26872) = 23 × 71 × 191 × 1011 × 33591
LCM(26866,26872) = 360971576