What is the Least Common Multiple of 10284 and 10297?
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 10284 and 10297 is 105894348.
LCM(10284,10297) = 105894348
Least Common Multiple of 10284 and 10297 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10284 and 10297, than apply into the LCM equation.
GCF(10284,10297) = 1
LCM(10284,10297) = ( 10284 × 10297) / 1
LCM(10284,10297) = 105894348 / 1
LCM(10284,10297) = 105894348
Least Common Multiple (LCM) of 10284 and 10297 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10284 and 10297. First we will calculate the prime factors of 10284 and 10297.
Prime Factorization of 10284
Prime factors of 10284 are 2, 3, 857. Prime factorization of 10284 in exponential form is:
10284 = 22 × 31 × 8571
Prime Factorization of 10297
Prime factors of 10297 are 7, 1471. Prime factorization of 10297 in exponential form is:
10297 = 71 × 14711
Now multiplying the highest exponent prime factors to calculate the LCM of 10284 and 10297.
LCM(10284,10297) = 22 × 31 × 8571 × 71 × 14711
LCM(10284,10297) = 105894348
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