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What is the Least Common Multiple of 26257 and 26272?

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 26257 and 26272 is 689823904.

LCM(26257,26272) = 689823904

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Least Common Multiple of 26257 and 26272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26257 and 26272, than apply into the LCM equation.

GCF(26257,26272) = 1
LCM(26257,26272) = ( 26257 × 26272) / 1
LCM(26257,26272) = 689823904 / 1
LCM(26257,26272) = 689823904

Least Common Multiple (LCM) of 26257 and 26272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26257 and 26272. First we will calculate the prime factors of 26257 and 26272.

Prime Factorization of 26257

Prime factors of 26257 are 7, 11, 31. Prime factorization of 26257 in exponential form is:

26257 = 71 × 112 × 311

Prime Factorization of 26272

Prime factors of 26272 are 2, 821. Prime factorization of 26272 in exponential form is:

26272 = 25 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 26257 and 26272.

LCM(26257,26272) = 71 × 112 × 311 × 25 × 8211
LCM(26257,26272) = 689823904