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What is the Least Common Multiple of 26528 and 26542?

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 26528 and 26542 is 352053088.

LCM(26528,26542) = 352053088

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Least Common Multiple of 26528 and 26542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26528 and 26542, than apply into the LCM equation.

GCF(26528,26542) = 2
LCM(26528,26542) = ( 26528 × 26542) / 2
LCM(26528,26542) = 704106176 / 2
LCM(26528,26542) = 352053088

Least Common Multiple (LCM) of 26528 and 26542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26528 and 26542. First we will calculate the prime factors of 26528 and 26542.

Prime Factorization of 26528

Prime factors of 26528 are 2, 829. Prime factorization of 26528 in exponential form is:

26528 = 25 × 8291

Prime Factorization of 26542

Prime factors of 26542 are 2, 23, 577. Prime factorization of 26542 in exponential form is:

26542 = 21 × 231 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 26528 and 26542.

LCM(26528,26542) = 25 × 8291 × 231 × 5771
LCM(26528,26542) = 352053088