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What is the Least Common Multiple of 10309 and 10321?

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 10309 and 10321 is 106399189.

LCM(10309,10321) = 106399189

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Least Common Multiple of 10309 and 10321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10309 and 10321, than apply into the LCM equation.

GCF(10309,10321) = 1
LCM(10309,10321) = ( 10309 × 10321) / 1
LCM(10309,10321) = 106399189 / 1
LCM(10309,10321) = 106399189

Least Common Multiple (LCM) of 10309 and 10321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10309 and 10321. First we will calculate the prime factors of 10309 and 10321.

Prime Factorization of 10309

Prime factors of 10309 are 13, 61. Prime factorization of 10309 in exponential form is:

10309 = 132 × 611

Prime Factorization of 10321

Prime factors of 10321 are 10321. Prime factorization of 10321 in exponential form is:

10321 = 103211

Now multiplying the highest exponent prime factors to calculate the LCM of 10309 and 10321.

LCM(10309,10321) = 132 × 611 × 103211
LCM(10309,10321) = 106399189