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What is the Least Common Multiple of 26204 and 26224?

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 26204 and 26224 is 171793424.

LCM(26204,26224) = 171793424

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Least Common Multiple of 26204 and 26224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26204 and 26224, than apply into the LCM equation.

GCF(26204,26224) = 4
LCM(26204,26224) = ( 26204 × 26224) / 4
LCM(26204,26224) = 687173696 / 4
LCM(26204,26224) = 171793424

Least Common Multiple (LCM) of 26204 and 26224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26204 and 26224. First we will calculate the prime factors of 26204 and 26224.

Prime Factorization of 26204

Prime factors of 26204 are 2, 6551. Prime factorization of 26204 in exponential form is:

26204 = 22 × 65511

Prime Factorization of 26224

Prime factors of 26224 are 2, 11, 149. Prime factorization of 26224 in exponential form is:

26224 = 24 × 111 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 26204 and 26224.

LCM(26204,26224) = 24 × 65511 × 111 × 1491
LCM(26204,26224) = 171793424