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What is the Least Common Multiple of 26279 and 26289?

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 26279 and 26289 is 690848631.

LCM(26279,26289) = 690848631

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Least Common Multiple of 26279 and 26289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26279 and 26289, than apply into the LCM equation.

GCF(26279,26289) = 1
LCM(26279,26289) = ( 26279 × 26289) / 1
LCM(26279,26289) = 690848631 / 1
LCM(26279,26289) = 690848631

Least Common Multiple (LCM) of 26279 and 26289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26279 and 26289. First we will calculate the prime factors of 26279 and 26289.

Prime Factorization of 26279

Prime factors of 26279 are 11, 2389. Prime factorization of 26279 in exponential form is:

26279 = 111 × 23891

Prime Factorization of 26289

Prime factors of 26289 are 3, 23, 127. Prime factorization of 26289 in exponential form is:

26289 = 32 × 231 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 26279 and 26289.

LCM(26279,26289) = 111 × 23891 × 32 × 231 × 1271
LCM(26279,26289) = 690848631