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What is the Least Common Multiple of 10726 and 10741?

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 10726 and 10741 is 115207966.

LCM(10726,10741) = 115207966

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Least Common Multiple of 10726 and 10741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10726 and 10741, than apply into the LCM equation.

GCF(10726,10741) = 1
LCM(10726,10741) = ( 10726 × 10741) / 1
LCM(10726,10741) = 115207966 / 1
LCM(10726,10741) = 115207966

Least Common Multiple (LCM) of 10726 and 10741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10726 and 10741. First we will calculate the prime factors of 10726 and 10741.

Prime Factorization of 10726

Prime factors of 10726 are 2, 31, 173. Prime factorization of 10726 in exponential form is:

10726 = 21 × 311 × 1731

Prime Factorization of 10741

Prime factors of 10741 are 23, 467. Prime factorization of 10741 in exponential form is:

10741 = 231 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 10726 and 10741.

LCM(10726,10741) = 21 × 311 × 1731 × 231 × 4671
LCM(10726,10741) = 115207966