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What is the Least Common Multiple of 26276 and 26288?

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 26276 and 26288 is 172685872.

LCM(26276,26288) = 172685872

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Least Common Multiple of 26276 and 26288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26276 and 26288, than apply into the LCM equation.

GCF(26276,26288) = 4
LCM(26276,26288) = ( 26276 × 26288) / 4
LCM(26276,26288) = 690743488 / 4
LCM(26276,26288) = 172685872

Least Common Multiple (LCM) of 26276 and 26288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26276 and 26288. First we will calculate the prime factors of 26276 and 26288.

Prime Factorization of 26276

Prime factors of 26276 are 2, 6569. Prime factorization of 26276 in exponential form is:

26276 = 22 × 65691

Prime Factorization of 26288

Prime factors of 26288 are 2, 31, 53. Prime factorization of 26288 in exponential form is:

26288 = 24 × 311 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 26276 and 26288.

LCM(26276,26288) = 24 × 65691 × 311 × 531
LCM(26276,26288) = 172685872