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What is the Least Common Multiple of 26131 and 26136?

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 26131 and 26136 is 682959816.

LCM(26131,26136) = 682959816

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Least Common Multiple of 26131 and 26136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26131 and 26136, than apply into the LCM equation.

GCF(26131,26136) = 1
LCM(26131,26136) = ( 26131 × 26136) / 1
LCM(26131,26136) = 682959816 / 1
LCM(26131,26136) = 682959816

Least Common Multiple (LCM) of 26131 and 26136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26131 and 26136. First we will calculate the prime factors of 26131 and 26136.

Prime Factorization of 26131

Prime factors of 26131 are 7, 3733. Prime factorization of 26131 in exponential form is:

26131 = 71 × 37331

Prime Factorization of 26136

Prime factors of 26136 are 2, 3, 11. Prime factorization of 26136 in exponential form is:

26136 = 23 × 33 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 26131 and 26136.

LCM(26131,26136) = 71 × 37331 × 23 × 33 × 112
LCM(26131,26136) = 682959816