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What is the Least Common Multiple of 26754 and 26773?

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 26754 and 26773 is 716284842.

LCM(26754,26773) = 716284842

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Least Common Multiple of 26754 and 26773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26754 and 26773, than apply into the LCM equation.

GCF(26754,26773) = 1
LCM(26754,26773) = ( 26754 × 26773) / 1
LCM(26754,26773) = 716284842 / 1
LCM(26754,26773) = 716284842

Least Common Multiple (LCM) of 26754 and 26773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26754 and 26773. First we will calculate the prime factors of 26754 and 26773.

Prime Factorization of 26754

Prime factors of 26754 are 2, 3, 7, 13. Prime factorization of 26754 in exponential form is:

26754 = 21 × 31 × 73 × 131

Prime Factorization of 26773

Prime factors of 26773 are 41, 653. Prime factorization of 26773 in exponential form is:

26773 = 411 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 26754 and 26773.

LCM(26754,26773) = 21 × 31 × 73 × 131 × 411 × 6531
LCM(26754,26773) = 716284842