What is the Least Common Multiple of 204 and 223?
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 204 and 223 is 45492.
LCM(204,223) = 45492
Least Common Multiple of 204 and 223 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 204 and 223, than apply into the LCM equation.
GCF(204,223) = 1
LCM(204,223) = ( 204 × 223) / 1
LCM(204,223) = 45492 / 1
LCM(204,223) = 45492
Least Common Multiple (LCM) of 204 and 223 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 204 and 223. First we will calculate the prime factors of 204 and 223.
Prime Factorization of 204
Prime factors of 204 are 2, 3, 17. Prime factorization of 204 in exponential form is:
204 = 22 × 31 × 171
Prime Factorization of 223
Prime factors of 223 are 223. Prime factorization of 223 in exponential form is:
223 = 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 204 and 223.
LCM(204,223) = 22 × 31 × 171 × 2231
LCM(204,223) = 45492
Related Least Common Multiples of 204
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Related Least Common Multiples of 223
- LCM of 223 and 227
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