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What is the Least Common Multiple of 26670 and 26688?

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 26688 is 118628160.

LCM(26670,26688) = 118628160

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Least Common Multiple of 26670 and 26688 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 26688, than apply into the LCM equation.

GCF(26670,26688) = 6
LCM(26670,26688) = ( 26670 × 26688) / 6
LCM(26670,26688) = 711768960 / 6
LCM(26670,26688) = 118628160

Least Common Multiple (LCM) of 26670 and 26688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26670 and 26688. First we will calculate the prime factors of 26670 and 26688.

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 26688

Prime factors of 26688 are 2, 3, 139. Prime factorization of 26688 in exponential form is:

26688 = 26 × 31 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 26670 and 26688.

LCM(26670,26688) = 26 × 31 × 51 × 71 × 1271 × 1391
LCM(26670,26688) = 118628160