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What is the Least Common Multiple of 10107 and 10112?

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 10112 is 102201984.

LCM(10107,10112) = 102201984

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Least Common Multiple of 10107 and 10112 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 10112, than apply into the LCM equation.

GCF(10107,10112) = 1
LCM(10107,10112) = ( 10107 × 10112) / 1
LCM(10107,10112) = 102201984 / 1
LCM(10107,10112) = 102201984

Least Common Multiple (LCM) of 10107 and 10112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10107 and 10112. First we will calculate the prime factors of 10107 and 10112.

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 10112

Prime factors of 10112 are 2, 79. Prime factorization of 10112 in exponential form is:

10112 = 27 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 10107 and 10112.

LCM(10107,10112) = 32 × 11231 × 27 × 791
LCM(10107,10112) = 102201984