What is the Least Common Multiple of 216 and 229?
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 216 and 229 is 49464.
LCM(216,229) = 49464
Least Common Multiple of 216 and 229 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 216 and 229, than apply into the LCM equation.
GCF(216,229) = 1
LCM(216,229) = ( 216 × 229) / 1
LCM(216,229) = 49464 / 1
LCM(216,229) = 49464
Least Common Multiple (LCM) of 216 and 229 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 216 and 229. First we will calculate the prime factors of 216 and 229.
Prime Factorization of 216
Prime factors of 216 are 2, 3. Prime factorization of 216 in exponential form is:
216 = 23 × 33
Prime Factorization of 229
Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:
229 = 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 216 and 229.
LCM(216,229) = 23 × 33 × 2291
LCM(216,229) = 49464
Related Least Common Multiples of 216
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Related Least Common Multiples of 229
- LCM of 229 and 233
- LCM of 229 and 234
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- LCM of 229 and 247
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