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What is the Least Common Multiple of 10126 and 10145?

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 10126 and 10145 is 102728270.

LCM(10126,10145) = 102728270

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Least Common Multiple of 10126 and 10145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10126 and 10145, than apply into the LCM equation.

GCF(10126,10145) = 1
LCM(10126,10145) = ( 10126 × 10145) / 1
LCM(10126,10145) = 102728270 / 1
LCM(10126,10145) = 102728270

Least Common Multiple (LCM) of 10126 and 10145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10126 and 10145. First we will calculate the prime factors of 10126 and 10145.

Prime Factorization of 10126

Prime factors of 10126 are 2, 61, 83. Prime factorization of 10126 in exponential form is:

10126 = 21 × 611 × 831

Prime Factorization of 10145

Prime factors of 10145 are 5, 2029. Prime factorization of 10145 in exponential form is:

10145 = 51 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 10126 and 10145.

LCM(10126,10145) = 21 × 611 × 831 × 51 × 20291
LCM(10126,10145) = 102728270