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What is the Least Common Multiple of 26775 and 26784?

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 26775 and 26784 is 79682400.

LCM(26775,26784) = 79682400

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Least Common Multiple of 26775 and 26784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26775 and 26784, than apply into the LCM equation.

GCF(26775,26784) = 9
LCM(26775,26784) = ( 26775 × 26784) / 9
LCM(26775,26784) = 717141600 / 9
LCM(26775,26784) = 79682400

Least Common Multiple (LCM) of 26775 and 26784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26775 and 26784. First we will calculate the prime factors of 26775 and 26784.

Prime Factorization of 26775

Prime factors of 26775 are 3, 5, 7, 17. Prime factorization of 26775 in exponential form is:

26775 = 32 × 52 × 71 × 171

Prime Factorization of 26784

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

26784 = 25 × 33 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 26775 and 26784.

LCM(26775,26784) = 33 × 52 × 71 × 171 × 25 × 311
LCM(26775,26784) = 79682400