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What is the Least Common Multiple of 26894 and 26912?

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 26894 and 26912 is 361885664.

LCM(26894,26912) = 361885664

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Least Common Multiple of 26894 and 26912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26894 and 26912, than apply into the LCM equation.

GCF(26894,26912) = 2
LCM(26894,26912) = ( 26894 × 26912) / 2
LCM(26894,26912) = 723771328 / 2
LCM(26894,26912) = 361885664

Least Common Multiple (LCM) of 26894 and 26912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26894 and 26912. First we will calculate the prime factors of 26894 and 26912.

Prime Factorization of 26894

Prime factors of 26894 are 2, 7, 17, 113. Prime factorization of 26894 in exponential form is:

26894 = 21 × 71 × 171 × 1131

Prime Factorization of 26912

Prime factors of 26912 are 2, 29. Prime factorization of 26912 in exponential form is:

26912 = 25 × 292

Now multiplying the highest exponent prime factors to calculate the LCM of 26894 and 26912.

LCM(26894,26912) = 25 × 71 × 171 × 1131 × 292
LCM(26894,26912) = 361885664