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What is the Least Common Multiple of 26204 and 26216?

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 26216 is 171741016.

LCM(26204,26216) = 171741016

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Least Common Multiple of 26204 and 26216 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 26216, than apply into the LCM equation.

GCF(26204,26216) = 4
LCM(26204,26216) = ( 26204 × 26216) / 4
LCM(26204,26216) = 686964064 / 4
LCM(26204,26216) = 171741016

Least Common Multiple (LCM) of 26204 and 26216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26204 and 26216. First we will calculate the prime factors of 26204 and 26216.

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 26216

Prime factors of 26216 are 2, 29, 113. Prime factorization of 26216 in exponential form is:

26216 = 23 × 291 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 26204 and 26216.

LCM(26204,26216) = 23 × 65511 × 291 × 1131
LCM(26204,26216) = 171741016