What is the Least Common Multiple of 10323 and 10340?
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 10323 and 10340 is 106739820.
LCM(10323,10340) = 106739820
Least Common Multiple of 10323 and 10340 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10323 and 10340, than apply into the LCM equation.
GCF(10323,10340) = 1
LCM(10323,10340) = ( 10323 × 10340) / 1
LCM(10323,10340) = 106739820 / 1
LCM(10323,10340) = 106739820
Least Common Multiple (LCM) of 10323 and 10340 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10323 and 10340. First we will calculate the prime factors of 10323 and 10340.
Prime Factorization of 10323
Prime factors of 10323 are 3, 31, 37. Prime factorization of 10323 in exponential form is:
10323 = 32 × 311 × 371
Prime Factorization of 10340
Prime factors of 10340 are 2, 5, 11, 47. Prime factorization of 10340 in exponential form is:
10340 = 22 × 51 × 111 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 10323 and 10340.
LCM(10323,10340) = 32 × 311 × 371 × 22 × 51 × 111 × 471
LCM(10323,10340) = 106739820
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