What is the Least Common Multiple of 28223 and 28237?
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 28223 and 28237 is 796932851.
LCM(28223,28237) = 796932851
Least Common Multiple of 28223 and 28237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28223 and 28237, than apply into the LCM equation.
GCF(28223,28237) = 1
LCM(28223,28237) = ( 28223 × 28237) / 1
LCM(28223,28237) = 796932851 / 1
LCM(28223,28237) = 796932851
Least Common Multiple (LCM) of 28223 and 28237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28223 and 28237. First we will calculate the prime factors of 28223 and 28237.
Prime Factorization of 28223
Prime factors of 28223 are 13, 167. Prime factorization of 28223 in exponential form is:
28223 = 132 × 1671
Prime Factorization of 28237
Prime factors of 28237 are 11, 17, 151. Prime factorization of 28237 in exponential form is:
28237 = 111 × 171 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 28223 and 28237.
LCM(28223,28237) = 132 × 1671 × 111 × 171 × 1511
LCM(28223,28237) = 796932851
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