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What is the Least Common Multiple of 26745 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 26745 and 26756 is 715589220.

LCM(26745,26756) = 715589220

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Least Common Multiple of 26745 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 26745 and 26756, than apply into the LCM equation.

GCF(26745,26756) = 1
LCM(26745,26756) = ( 26745 × 26756) / 1
LCM(26745,26756) = 715589220 / 1
LCM(26745,26756) = 715589220

Least Common Multiple (LCM) of 26745 and 26756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26745 and 26756. First we will calculate the prime factors of 26745 and 26756.

Prime Factorization of 26745

Prime factors of 26745 are 3, 5, 1783. Prime factorization of 26745 in exponential form is:

26745 = 31 × 51 × 17831

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 26745 and 26756.

LCM(26745,26756) = 31 × 51 × 17831 × 22 × 66891
LCM(26745,26756) = 715589220