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What is the Least Common Multiple of 26254 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 26254 and 26271 is 689718834.

LCM(26254,26271) = 689718834

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Least Common Multiple of 26254 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 26254 and 26271, than apply into the LCM equation.

GCF(26254,26271) = 1
LCM(26254,26271) = ( 26254 × 26271) / 1
LCM(26254,26271) = 689718834 / 1
LCM(26254,26271) = 689718834

Least Common Multiple (LCM) of 26254 and 26271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26254 and 26271. First we will calculate the prime factors of 26254 and 26271.

Prime Factorization of 26254

Prime factors of 26254 are 2, 13127. Prime factorization of 26254 in exponential form is:

26254 = 21 × 131271

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 26254 and 26271.

LCM(26254,26271) = 21 × 131271 × 33 × 71 × 1391
LCM(26254,26271) = 689718834