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What is the Least Common Multiple of 26890 and 26906?

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 26890 and 26906 is 361751170.

LCM(26890,26906) = 361751170

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Least Common Multiple of 26890 and 26906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26890 and 26906, than apply into the LCM equation.

GCF(26890,26906) = 2
LCM(26890,26906) = ( 26890 × 26906) / 2
LCM(26890,26906) = 723502340 / 2
LCM(26890,26906) = 361751170

Least Common Multiple (LCM) of 26890 and 26906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26890 and 26906. First we will calculate the prime factors of 26890 and 26906.

Prime Factorization of 26890

Prime factors of 26890 are 2, 5, 2689. Prime factorization of 26890 in exponential form is:

26890 = 21 × 51 × 26891

Prime Factorization of 26906

Prime factors of 26906 are 2, 11, 1223. Prime factorization of 26906 in exponential form is:

26906 = 21 × 111 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 26890 and 26906.

LCM(26890,26906) = 21 × 51 × 26891 × 111 × 12231
LCM(26890,26906) = 361751170