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What is the Least Common Multiple of 26564 and 26584?

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 26564 and 26584 is 176544344.

LCM(26564,26584) = 176544344

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Least Common Multiple of 26564 and 26584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26564 and 26584, than apply into the LCM equation.

GCF(26564,26584) = 4
LCM(26564,26584) = ( 26564 × 26584) / 4
LCM(26564,26584) = 706177376 / 4
LCM(26564,26584) = 176544344

Least Common Multiple (LCM) of 26564 and 26584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26564 and 26584. First we will calculate the prime factors of 26564 and 26584.

Prime Factorization of 26564

Prime factors of 26564 are 2, 29, 229. Prime factorization of 26564 in exponential form is:

26564 = 22 × 291 × 2291

Prime Factorization of 26584

Prime factors of 26584 are 2, 3323. Prime factorization of 26584 in exponential form is:

26584 = 23 × 33231

Now multiplying the highest exponent prime factors to calculate the LCM of 26564 and 26584.

LCM(26564,26584) = 23 × 291 × 2291 × 33231
LCM(26564,26584) = 176544344