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What is the Least Common Multiple of 26192 and 26204?

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 26192 and 26204 is 171583792.

LCM(26192,26204) = 171583792

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Least Common Multiple of 26192 and 26204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26192 and 26204, than apply into the LCM equation.

GCF(26192,26204) = 4
LCM(26192,26204) = ( 26192 × 26204) / 4
LCM(26192,26204) = 686335168 / 4
LCM(26192,26204) = 171583792

Least Common Multiple (LCM) of 26192 and 26204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26192 and 26204. First we will calculate the prime factors of 26192 and 26204.

Prime Factorization of 26192

Prime factors of 26192 are 2, 1637. Prime factorization of 26192 in exponential form is:

26192 = 24 × 16371

Prime Factorization of 26204

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

26204 = 22 × 65511

Now multiplying the highest exponent prime factors to calculate the LCM of 26192 and 26204.

LCM(26192,26204) = 24 × 16371 × 65511
LCM(26192,26204) = 171583792