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What is the Least Common Multiple of 26258 and 26278?

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 26258 and 26278 is 345003862.

LCM(26258,26278) = 345003862

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Least Common Multiple of 26258 and 26278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26258 and 26278, than apply into the LCM equation.

GCF(26258,26278) = 2
LCM(26258,26278) = ( 26258 × 26278) / 2
LCM(26258,26278) = 690007724 / 2
LCM(26258,26278) = 345003862

Least Common Multiple (LCM) of 26258 and 26278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26258 and 26278. First we will calculate the prime factors of 26258 and 26278.

Prime Factorization of 26258

Prime factors of 26258 are 2, 19, 691. Prime factorization of 26258 in exponential form is:

26258 = 21 × 191 × 6911

Prime Factorization of 26278

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

26278 = 21 × 71 × 18771

Now multiplying the highest exponent prime factors to calculate the LCM of 26258 and 26278.

LCM(26258,26278) = 21 × 191 × 6911 × 71 × 18771
LCM(26258,26278) = 345003862