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What is the Least Common Multiple of 26704 and 26714?

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 26704 and 26714 is 356685328.

LCM(26704,26714) = 356685328

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Least Common Multiple of 26704 and 26714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26704 and 26714, than apply into the LCM equation.

GCF(26704,26714) = 2
LCM(26704,26714) = ( 26704 × 26714) / 2
LCM(26704,26714) = 713370656 / 2
LCM(26704,26714) = 356685328

Least Common Multiple (LCM) of 26704 and 26714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26704 and 26714. First we will calculate the prime factors of 26704 and 26714.

Prime Factorization of 26704

Prime factors of 26704 are 2, 1669. Prime factorization of 26704 in exponential form is:

26704 = 24 × 16691

Prime Factorization of 26714

Prime factors of 26714 are 2, 19, 37. Prime factorization of 26714 in exponential form is:

26714 = 21 × 192 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 26704 and 26714.

LCM(26704,26714) = 24 × 16691 × 192 × 371
LCM(26704,26714) = 356685328