What is the Least Common Multiple of 216 and 235?
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 235 is 50760.
LCM(216,235) = 50760
Least Common Multiple of 216 and 235 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 235, than apply into the LCM equation.
GCF(216,235) = 1
LCM(216,235) = ( 216 × 235) / 1
LCM(216,235) = 50760 / 1
LCM(216,235) = 50760
Least Common Multiple (LCM) of 216 and 235 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 216 and 235. First we will calculate the prime factors of 216 and 235.
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 235
Prime factors of 235 are 5, 47. Prime factorization of 235 in exponential form is:
235 = 51 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 216 and 235.
LCM(216,235) = 23 × 33 × 51 × 471
LCM(216,235) = 50760
Related Least Common Multiples of 216
- LCM of 216 and 220
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- LCM of 216 and 223
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- LCM of 216 and 234
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Related Least Common Multiples of 235
- LCM of 235 and 239
- LCM of 235 and 240
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- LCM of 235 and 242
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- LCM of 235 and 244
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- LCM of 235 and 253
- LCM of 235 and 254
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