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What is the Least Common Multiple of 26670 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 26670 and 26681 is 711582270.

LCM(26670,26681) = 711582270

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Least Common Multiple of 26670 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 26670 and 26681, than apply into the LCM equation.

GCF(26670,26681) = 1
LCM(26670,26681) = ( 26670 × 26681) / 1
LCM(26670,26681) = 711582270 / 1
LCM(26670,26681) = 711582270

Least Common Multiple (LCM) of 26670 and 26681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26670 and 26681. First we will calculate the prime factors of 26670 and 26681.

Prime Factorization of 26670

Prime factors of 26670 are 2, 3, 5, 7, 127. Prime factorization of 26670 in exponential form is:

26670 = 21 × 31 × 51 × 71 × 1271

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 26670 and 26681.

LCM(26670,26681) = 21 × 31 × 51 × 71 × 1271 × 266811
LCM(26670,26681) = 711582270