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What is the Least Common Multiple of 26777 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 26777 and 26784 is 717195168.

LCM(26777,26784) = 717195168

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Least Common Multiple of 26777 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 26777 and 26784, than apply into the LCM equation.

GCF(26777,26784) = 1
LCM(26777,26784) = ( 26777 × 26784) / 1
LCM(26777,26784) = 717195168 / 1
LCM(26777,26784) = 717195168

Least Common Multiple (LCM) of 26777 and 26784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26777 and 26784. First we will calculate the prime factors of 26777 and 26784.

Prime Factorization of 26777

Prime factors of 26777 are 26777. Prime factorization of 26777 in exponential form is:

26777 = 267771

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 26777 and 26784.

LCM(26777,26784) = 267771 × 25 × 33 × 311
LCM(26777,26784) = 717195168