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What is the Least Common Multiple of 26278 and 26296?

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 26278 and 26296 is 345503144.

LCM(26278,26296) = 345503144

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Least Common Multiple of 26278 and 26296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26278 and 26296, than apply into the LCM equation.

GCF(26278,26296) = 2
LCM(26278,26296) = ( 26278 × 26296) / 2
LCM(26278,26296) = 691006288 / 2
LCM(26278,26296) = 345503144

Least Common Multiple (LCM) of 26278 and 26296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26278 and 26296. First we will calculate the prime factors of 26278 and 26296.

Prime Factorization of 26278

Prime factors of 26278 are 2, 7, 1877. Prime factorization of 26278 in exponential form is:

26278 = 21 × 71 × 18771

Prime Factorization of 26296

Prime factors of 26296 are 2, 19, 173. Prime factorization of 26296 in exponential form is:

26296 = 23 × 191 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 26278 and 26296.

LCM(26278,26296) = 23 × 71 × 18771 × 191 × 1731
LCM(26278,26296) = 345503144