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What is the Least Common Multiple of 26426 and 26442?

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 26426 and 26442 is 349378146.

LCM(26426,26442) = 349378146

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Least Common Multiple of 26426 and 26442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26426 and 26442, than apply into the LCM equation.

GCF(26426,26442) = 2
LCM(26426,26442) = ( 26426 × 26442) / 2
LCM(26426,26442) = 698756292 / 2
LCM(26426,26442) = 349378146

Least Common Multiple (LCM) of 26426 and 26442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26426 and 26442. First we will calculate the prime factors of 26426 and 26442.

Prime Factorization of 26426

Prime factors of 26426 are 2, 73, 181. Prime factorization of 26426 in exponential form is:

26426 = 21 × 731 × 1811

Prime Factorization of 26442

Prime factors of 26442 are 2, 3, 13, 113. Prime factorization of 26442 in exponential form is:

26442 = 21 × 32 × 131 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 26426 and 26442.

LCM(26426,26442) = 21 × 731 × 1811 × 32 × 131 × 1131
LCM(26426,26442) = 349378146