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What is the Least Common Multiple of 10106 and 10125?

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 10106 and 10125 is 102323250.

LCM(10106,10125) = 102323250

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Least Common Multiple of 10106 and 10125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10106 and 10125, than apply into the LCM equation.

GCF(10106,10125) = 1
LCM(10106,10125) = ( 10106 × 10125) / 1
LCM(10106,10125) = 102323250 / 1
LCM(10106,10125) = 102323250

Least Common Multiple (LCM) of 10106 and 10125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10106 and 10125. First we will calculate the prime factors of 10106 and 10125.

Prime Factorization of 10106

Prime factors of 10106 are 2, 31, 163. Prime factorization of 10106 in exponential form is:

10106 = 21 × 311 × 1631

Prime Factorization of 10125

Prime factors of 10125 are 3, 5. Prime factorization of 10125 in exponential form is:

10125 = 34 × 53

Now multiplying the highest exponent prime factors to calculate the LCM of 10106 and 10125.

LCM(10106,10125) = 21 × 311 × 1631 × 34 × 53
LCM(10106,10125) = 102323250