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What is the Least Common Multiple of 26392 and 26406?

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 26392 and 26406 is 348453576.

LCM(26392,26406) = 348453576

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Least Common Multiple of 26392 and 26406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26392 and 26406, than apply into the LCM equation.

GCF(26392,26406) = 2
LCM(26392,26406) = ( 26392 × 26406) / 2
LCM(26392,26406) = 696907152 / 2
LCM(26392,26406) = 348453576

Least Common Multiple (LCM) of 26392 and 26406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26392 and 26406. First we will calculate the prime factors of 26392 and 26406.

Prime Factorization of 26392

Prime factors of 26392 are 2, 3299. Prime factorization of 26392 in exponential form is:

26392 = 23 × 32991

Prime Factorization of 26406

Prime factors of 26406 are 2, 3, 163. Prime factorization of 26406 in exponential form is:

26406 = 21 × 34 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 26392 and 26406.

LCM(26392,26406) = 23 × 32991 × 34 × 1631
LCM(26392,26406) = 348453576