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What is the Least Common Multiple of 26234 and 26241?

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 26234 and 26241 is 688406394.

LCM(26234,26241) = 688406394

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Least Common Multiple of 26234 and 26241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26234 and 26241, than apply into the LCM equation.

GCF(26234,26241) = 1
LCM(26234,26241) = ( 26234 × 26241) / 1
LCM(26234,26241) = 688406394 / 1
LCM(26234,26241) = 688406394

Least Common Multiple (LCM) of 26234 and 26241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26234 and 26241. First we will calculate the prime factors of 26234 and 26241.

Prime Factorization of 26234

Prime factors of 26234 are 2, 13, 1009. Prime factorization of 26234 in exponential form is:

26234 = 21 × 131 × 10091

Prime Factorization of 26241

Prime factors of 26241 are 3, 8747. Prime factorization of 26241 in exponential form is:

26241 = 31 × 87471

Now multiplying the highest exponent prime factors to calculate the LCM of 26234 and 26241.

LCM(26234,26241) = 21 × 131 × 10091 × 31 × 87471
LCM(26234,26241) = 688406394