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What is the Least Common Multiple of 10139 and 10157?

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 10139 and 10157 is 102981823.

LCM(10139,10157) = 102981823

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Least Common Multiple of 10139 and 10157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10139 and 10157, than apply into the LCM equation.

GCF(10139,10157) = 1
LCM(10139,10157) = ( 10139 × 10157) / 1
LCM(10139,10157) = 102981823 / 1
LCM(10139,10157) = 102981823

Least Common Multiple (LCM) of 10139 and 10157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10139 and 10157. First we will calculate the prime factors of 10139 and 10157.

Prime Factorization of 10139

Prime factors of 10139 are 10139. Prime factorization of 10139 in exponential form is:

10139 = 101391

Prime Factorization of 10157

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

10157 = 71 × 14511

Now multiplying the highest exponent prime factors to calculate the LCM of 10139 and 10157.

LCM(10139,10157) = 101391 × 71 × 14511
LCM(10139,10157) = 102981823