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What is the Least Common Multiple of 26784 and 26798?

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 26784 and 26798 is 358878816.

LCM(26784,26798) = 358878816

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Least Common Multiple of 26784 and 26798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26784 and 26798, than apply into the LCM equation.

GCF(26784,26798) = 2
LCM(26784,26798) = ( 26784 × 26798) / 2
LCM(26784,26798) = 717757632 / 2
LCM(26784,26798) = 358878816

Least Common Multiple (LCM) of 26784 and 26798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26784 and 26798. First we will calculate the prime factors of 26784 and 26798.

Prime Factorization of 26784

Prime factors of 26784 are 2, 3, 31. Prime factorization of 26784 in exponential form is:

26784 = 25 × 33 × 311

Prime Factorization of 26798

Prime factors of 26798 are 2, 13399. Prime factorization of 26798 in exponential form is:

26798 = 21 × 133991

Now multiplying the highest exponent prime factors to calculate the LCM of 26784 and 26798.

LCM(26784,26798) = 25 × 33 × 311 × 133991
LCM(26784,26798) = 358878816