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What is the Least Common Multiple of 10241 and 10261?

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 10241 and 10261 is 105082901.

LCM(10241,10261) = 105082901

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Least Common Multiple of 10241 and 10261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10241 and 10261, than apply into the LCM equation.

GCF(10241,10261) = 1
LCM(10241,10261) = ( 10241 × 10261) / 1
LCM(10241,10261) = 105082901 / 1
LCM(10241,10261) = 105082901

Least Common Multiple (LCM) of 10241 and 10261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10241 and 10261. First we will calculate the prime factors of 10241 and 10261.

Prime Factorization of 10241

Prime factors of 10241 are 7, 11, 19. Prime factorization of 10241 in exponential form is:

10241 = 72 × 111 × 191

Prime Factorization of 10261

Prime factors of 10261 are 31, 331. Prime factorization of 10261 in exponential form is:

10261 = 311 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 10241 and 10261.

LCM(10241,10261) = 72 × 111 × 191 × 311 × 3311
LCM(10241,10261) = 105082901