What is the Least Common Multiple of 203 and 221?
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 203 and 221 is 44863.
LCM(203,221) = 44863
Least Common Multiple of 203 and 221 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 203 and 221, than apply into the LCM equation.
GCF(203,221) = 1
LCM(203,221) = ( 203 × 221) / 1
LCM(203,221) = 44863 / 1
LCM(203,221) = 44863
Least Common Multiple (LCM) of 203 and 221 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 203 and 221. First we will calculate the prime factors of 203 and 221.
Prime Factorization of 203
Prime factors of 203 are 7, 29. Prime factorization of 203 in exponential form is:
203 = 71 × 291
Prime Factorization of 221
Prime factors of 221 are 13, 17. Prime factorization of 221 in exponential form is:
221 = 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 203 and 221.
LCM(203,221) = 71 × 291 × 131 × 171
LCM(203,221) = 44863
Related Least Common Multiples of 203
- LCM of 203 and 207
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- LCM of 203 and 210
- LCM of 203 and 211
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- LCM of 203 and 223
Related Least Common Multiples of 221
- LCM of 221 and 225
- LCM of 221 and 226
- LCM of 221 and 227
- LCM of 221 and 228
- LCM of 221 and 229
- LCM of 221 and 230
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- LCM of 221 and 241