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What is the Least Common Multiple of 10136 and 10141?

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 10136 and 10141 is 102789176.

LCM(10136,10141) = 102789176

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Least Common Multiple of 10136 and 10141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10136 and 10141, than apply into the LCM equation.

GCF(10136,10141) = 1
LCM(10136,10141) = ( 10136 × 10141) / 1
LCM(10136,10141) = 102789176 / 1
LCM(10136,10141) = 102789176

Least Common Multiple (LCM) of 10136 and 10141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10136 and 10141. First we will calculate the prime factors of 10136 and 10141.

Prime Factorization of 10136

Prime factors of 10136 are 2, 7, 181. Prime factorization of 10136 in exponential form is:

10136 = 23 × 71 × 1811

Prime Factorization of 10141

Prime factors of 10141 are 10141. Prime factorization of 10141 in exponential form is:

10141 = 101411

Now multiplying the highest exponent prime factors to calculate the LCM of 10136 and 10141.

LCM(10136,10141) = 23 × 71 × 1811 × 101411
LCM(10136,10141) = 102789176