What is the Least Common Multiple of 8303 and 8323?
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 8303 and 8323 is 69105869.
LCM(8303,8323) = 69105869
Least Common Multiple of 8303 and 8323 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8303 and 8323, than apply into the LCM equation.
GCF(8303,8323) = 1
LCM(8303,8323) = ( 8303 × 8323) / 1
LCM(8303,8323) = 69105869 / 1
LCM(8303,8323) = 69105869
Least Common Multiple (LCM) of 8303 and 8323 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8303 and 8323. First we will calculate the prime factors of 8303 and 8323.
Prime Factorization of 8303
Prime factors of 8303 are 19, 23. Prime factorization of 8303 in exponential form is:
8303 = 192 × 231
Prime Factorization of 8323
Prime factors of 8323 are 7, 29, 41. Prime factorization of 8323 in exponential form is:
8323 = 71 × 291 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 8303 and 8323.
LCM(8303,8323) = 192 × 231 × 71 × 291 × 411
LCM(8303,8323) = 69105869
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