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What is the Least Common Multiple of 10107 and 10123?

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 10107 and 10123 is 102313161.

LCM(10107,10123) = 102313161

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Least Common Multiple of 10107 and 10123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10107 and 10123, than apply into the LCM equation.

GCF(10107,10123) = 1
LCM(10107,10123) = ( 10107 × 10123) / 1
LCM(10107,10123) = 102313161 / 1
LCM(10107,10123) = 102313161

Least Common Multiple (LCM) of 10107 and 10123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10107 and 10123. First we will calculate the prime factors of 10107 and 10123.

Prime Factorization of 10107

Prime factors of 10107 are 3, 1123. Prime factorization of 10107 in exponential form is:

10107 = 32 × 11231

Prime Factorization of 10123

Prime factors of 10123 are 53, 191. Prime factorization of 10123 in exponential form is:

10123 = 531 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 10107 and 10123.

LCM(10107,10123) = 32 × 11231 × 531 × 1911
LCM(10107,10123) = 102313161