What is the Least Common Multiple of 28314 and 28323?
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 28314 and 28323 is 89104158.
LCM(28314,28323) = 89104158
Least Common Multiple of 28314 and 28323 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28314 and 28323, than apply into the LCM equation.
GCF(28314,28323) = 9
LCM(28314,28323) = ( 28314 × 28323) / 9
LCM(28314,28323) = 801937422 / 9
LCM(28314,28323) = 89104158
Least Common Multiple (LCM) of 28314 and 28323 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28314 and 28323. First we will calculate the prime factors of 28314 and 28323.
Prime Factorization of 28314
Prime factors of 28314 are 2, 3, 11, 13. Prime factorization of 28314 in exponential form is:
28314 = 21 × 32 × 112 × 131
Prime Factorization of 28323
Prime factors of 28323 are 3, 1049. Prime factorization of 28323 in exponential form is:
28323 = 33 × 10491
Now multiplying the highest exponent prime factors to calculate the LCM of 28314 and 28323.
LCM(28314,28323) = 21 × 33 × 112 × 131 × 10491
LCM(28314,28323) = 89104158
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