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What is the Least Common Multiple of 26276 and 26290?

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 26290 is 345398020.

LCM(26276,26290) = 345398020

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Least Common Multiple of 26276 and 26290 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 26290, than apply into the LCM equation.

GCF(26276,26290) = 2
LCM(26276,26290) = ( 26276 × 26290) / 2
LCM(26276,26290) = 690796040 / 2
LCM(26276,26290) = 345398020

Least Common Multiple (LCM) of 26276 and 26290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26276 and 26290. First we will calculate the prime factors of 26276 and 26290.

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 26290

Prime factors of 26290 are 2, 5, 11, 239. Prime factorization of 26290 in exponential form is:

26290 = 21 × 51 × 111 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 26276 and 26290.

LCM(26276,26290) = 22 × 65691 × 51 × 111 × 2391
LCM(26276,26290) = 345398020