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What is the Least Common Multiple of 26936 and 26946?

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 26936 and 26946 is 362908728.

LCM(26936,26946) = 362908728

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Least Common Multiple of 26936 and 26946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26936 and 26946, than apply into the LCM equation.

GCF(26936,26946) = 2
LCM(26936,26946) = ( 26936 × 26946) / 2
LCM(26936,26946) = 725817456 / 2
LCM(26936,26946) = 362908728

Least Common Multiple (LCM) of 26936 and 26946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26936 and 26946. First we will calculate the prime factors of 26936 and 26946.

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

Prime Factorization of 26946

Prime factors of 26946 are 2, 3, 499. Prime factorization of 26946 in exponential form is:

26946 = 21 × 33 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 26936 and 26946.

LCM(26936,26946) = 23 × 71 × 131 × 371 × 33 × 4991
LCM(26936,26946) = 362908728