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What is the Least Common Multiple of 26747 and 26756?

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 26747 and 26756 is 715642732.

LCM(26747,26756) = 715642732

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Least Common Multiple of 26747 and 26756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26747 and 26756, than apply into the LCM equation.

GCF(26747,26756) = 1
LCM(26747,26756) = ( 26747 × 26756) / 1
LCM(26747,26756) = 715642732 / 1
LCM(26747,26756) = 715642732

Least Common Multiple (LCM) of 26747 and 26756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26747 and 26756. First we will calculate the prime factors of 26747 and 26756.

Prime Factorization of 26747

Prime factors of 26747 are 7, 3821. Prime factorization of 26747 in exponential form is:

26747 = 71 × 38211

Prime Factorization of 26756

Prime factors of 26756 are 2, 6689. Prime factorization of 26756 in exponential form is:

26756 = 22 × 66891

Now multiplying the highest exponent prime factors to calculate the LCM of 26747 and 26756.

LCM(26747,26756) = 71 × 38211 × 22 × 66891
LCM(26747,26756) = 715642732