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What is the Least Common Multiple of 10157 and 10162?

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 10157 and 10162 is 103215434.

LCM(10157,10162) = 103215434

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Least Common Multiple of 10157 and 10162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10157 and 10162, than apply into the LCM equation.

GCF(10157,10162) = 1
LCM(10157,10162) = ( 10157 × 10162) / 1
LCM(10157,10162) = 103215434 / 1
LCM(10157,10162) = 103215434

Least Common Multiple (LCM) of 10157 and 10162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10157 and 10162. First we will calculate the prime factors of 10157 and 10162.

Prime Factorization of 10157

Prime factors of 10157 are 7, 1451. Prime factorization of 10157 in exponential form is:

10157 = 71 × 14511

Prime Factorization of 10162

Prime factors of 10162 are 2, 5081. Prime factorization of 10162 in exponential form is:

10162 = 21 × 50811

Now multiplying the highest exponent prime factors to calculate the LCM of 10157 and 10162.

LCM(10157,10162) = 71 × 14511 × 21 × 50811
LCM(10157,10162) = 103215434