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What is the Least Common Multiple of 26267 and 26271?

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 26267 and 26271 is 690060357.

LCM(26267,26271) = 690060357

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Least Common Multiple of 26267 and 26271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26267 and 26271, than apply into the LCM equation.

GCF(26267,26271) = 1
LCM(26267,26271) = ( 26267 × 26271) / 1
LCM(26267,26271) = 690060357 / 1
LCM(26267,26271) = 690060357

Least Common Multiple (LCM) of 26267 and 26271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26267 and 26271. First we will calculate the prime factors of 26267 and 26271.

Prime Factorization of 26267

Prime factors of 26267 are 26267. Prime factorization of 26267 in exponential form is:

26267 = 262671

Prime Factorization of 26271

Prime factors of 26271 are 3, 7, 139. Prime factorization of 26271 in exponential form is:

26271 = 33 × 71 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 26267 and 26271.

LCM(26267,26271) = 262671 × 33 × 71 × 1391
LCM(26267,26271) = 690060357