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What is the Least Common Multiple of 26131 and 26137?

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 26137 is 682985947.

LCM(26131,26137) = 682985947

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Least Common Multiple of 26131 and 26137 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 26137, than apply into the LCM equation.

GCF(26131,26137) = 1
LCM(26131,26137) = ( 26131 × 26137) / 1
LCM(26131,26137) = 682985947 / 1
LCM(26131,26137) = 682985947

Least Common Multiple (LCM) of 26131 and 26137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26131 and 26137. First we will calculate the prime factors of 26131 and 26137.

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 26137

Prime factors of 26137 are 59, 443. Prime factorization of 26137 in exponential form is:

26137 = 591 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 26131 and 26137.

LCM(26131,26137) = 71 × 37331 × 591 × 4431
LCM(26131,26137) = 682985947