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What is the Least Common Multiple of 26676 and 26681?

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 26676 and 26681 is 711742356.

LCM(26676,26681) = 711742356

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Least Common Multiple of 26676 and 26681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26676 and 26681, than apply into the LCM equation.

GCF(26676,26681) = 1
LCM(26676,26681) = ( 26676 × 26681) / 1
LCM(26676,26681) = 711742356 / 1
LCM(26676,26681) = 711742356

Least Common Multiple (LCM) of 26676 and 26681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26676 and 26681. First we will calculate the prime factors of 26676 and 26681.

Prime Factorization of 26676

Prime factors of 26676 are 2, 3, 13, 19. Prime factorization of 26676 in exponential form is:

26676 = 22 × 33 × 131 × 191

Prime Factorization of 26681

Prime factors of 26681 are 26681. Prime factorization of 26681 in exponential form is:

26681 = 266811

Now multiplying the highest exponent prime factors to calculate the LCM of 26676 and 26681.

LCM(26676,26681) = 22 × 33 × 131 × 191 × 266811
LCM(26676,26681) = 711742356