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What is the Least Common Multiple of 26218 and 26231?

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 26218 and 26231 is 687724358.

LCM(26218,26231) = 687724358

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Least Common Multiple of 26218 and 26231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26218 and 26231, than apply into the LCM equation.

GCF(26218,26231) = 1
LCM(26218,26231) = ( 26218 × 26231) / 1
LCM(26218,26231) = 687724358 / 1
LCM(26218,26231) = 687724358

Least Common Multiple (LCM) of 26218 and 26231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26218 and 26231. First we will calculate the prime factors of 26218 and 26231.

Prime Factorization of 26218

Prime factors of 26218 are 2, 13109. Prime factorization of 26218 in exponential form is:

26218 = 21 × 131091

Prime Factorization of 26231

Prime factors of 26231 are 17, 1543. Prime factorization of 26231 in exponential form is:

26231 = 171 × 15431

Now multiplying the highest exponent prime factors to calculate the LCM of 26218 and 26231.

LCM(26218,26231) = 21 × 131091 × 171 × 15431
LCM(26218,26231) = 687724358