What is the Least Common Multiple of 204 and 219?
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 219 is 14892.
LCM(204,219) = 14892
Least Common Multiple of 204 and 219 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 219, than apply into the LCM equation.
GCF(204,219) = 3
LCM(204,219) = ( 204 × 219) / 3
LCM(204,219) = 44676 / 3
LCM(204,219) = 14892
Least Common Multiple (LCM) of 204 and 219 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 204 and 219. First we will calculate the prime factors of 204 and 219.
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 219
Prime factors of 219 are 3, 73. Prime factorization of 219 in exponential form is:
219 = 31 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 204 and 219.
LCM(204,219) = 22 × 31 × 171 × 731
LCM(204,219) = 14892
Related Least Common Multiples of 204
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Related Least Common Multiples of 219
- LCM of 219 and 223
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