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What is the Least Common Multiple of 26931 and 26936?

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 26931 and 26936 is 725413416.

LCM(26931,26936) = 725413416

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Least Common Multiple of 26931 and 26936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26931 and 26936, than apply into the LCM equation.

GCF(26931,26936) = 1
LCM(26931,26936) = ( 26931 × 26936) / 1
LCM(26931,26936) = 725413416 / 1
LCM(26931,26936) = 725413416

Least Common Multiple (LCM) of 26931 and 26936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26931 and 26936. First we will calculate the prime factors of 26931 and 26936.

Prime Factorization of 26931

Prime factors of 26931 are 3, 47, 191. Prime factorization of 26931 in exponential form is:

26931 = 31 × 471 × 1911

Prime Factorization of 26936

Prime factors of 26936 are 2, 7, 13, 37. Prime factorization of 26936 in exponential form is:

26936 = 23 × 71 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 26931 and 26936.

LCM(26931,26936) = 31 × 471 × 1911 × 23 × 71 × 131 × 371
LCM(26931,26936) = 725413416