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What is the Least Common Multiple of 26376 and 26382?

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 26376 and 26382 is 115975272.

LCM(26376,26382) = 115975272

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Least Common Multiple of 26376 and 26382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26376 and 26382, than apply into the LCM equation.

GCF(26376,26382) = 6
LCM(26376,26382) = ( 26376 × 26382) / 6
LCM(26376,26382) = 695851632 / 6
LCM(26376,26382) = 115975272

Least Common Multiple (LCM) of 26376 and 26382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26376 and 26382. First we will calculate the prime factors of 26376 and 26382.

Prime Factorization of 26376

Prime factors of 26376 are 2, 3, 7, 157. Prime factorization of 26376 in exponential form is:

26376 = 23 × 31 × 71 × 1571

Prime Factorization of 26382

Prime factors of 26382 are 2, 3, 4397. Prime factorization of 26382 in exponential form is:

26382 = 21 × 31 × 43971

Now multiplying the highest exponent prime factors to calculate the LCM of 26376 and 26382.

LCM(26376,26382) = 23 × 31 × 71 × 1571 × 43971
LCM(26376,26382) = 115975272