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What is the Least Common Multiple of 26969 and 26986?

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 26969 and 26986 is 727785434.

LCM(26969,26986) = 727785434

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Least Common Multiple of 26969 and 26986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26969 and 26986, than apply into the LCM equation.

GCF(26969,26986) = 1
LCM(26969,26986) = ( 26969 × 26986) / 1
LCM(26969,26986) = 727785434 / 1
LCM(26969,26986) = 727785434

Least Common Multiple (LCM) of 26969 and 26986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26969 and 26986. First we will calculate the prime factors of 26969 and 26986.

Prime Factorization of 26969

Prime factors of 26969 are 149, 181. Prime factorization of 26969 in exponential form is:

26969 = 1491 × 1811

Prime Factorization of 26986

Prime factors of 26986 are 2, 103, 131. Prime factorization of 26986 in exponential form is:

26986 = 21 × 1031 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 26969 and 26986.

LCM(26969,26986) = 1491 × 1811 × 21 × 1031 × 1311
LCM(26969,26986) = 727785434