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What is the Least Common Multiple of 26923 and 26943?

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 26923 and 26943 is 725386389.

LCM(26923,26943) = 725386389

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Least Common Multiple of 26923 and 26943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26923 and 26943, than apply into the LCM equation.

GCF(26923,26943) = 1
LCM(26923,26943) = ( 26923 × 26943) / 1
LCM(26923,26943) = 725386389 / 1
LCM(26923,26943) = 725386389

Least Common Multiple (LCM) of 26923 and 26943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26923 and 26943. First we will calculate the prime factors of 26923 and 26943.

Prime Factorization of 26923

Prime factors of 26923 are 13, 19, 109. Prime factorization of 26923 in exponential form is:

26923 = 131 × 191 × 1091

Prime Factorization of 26943

Prime factors of 26943 are 3, 7, 1283. Prime factorization of 26943 in exponential form is:

26943 = 31 × 71 × 12831

Now multiplying the highest exponent prime factors to calculate the LCM of 26923 and 26943.

LCM(26923,26943) = 131 × 191 × 1091 × 31 × 71 × 12831
LCM(26923,26943) = 725386389