What is the Least Common Multiple of 203 and 210?
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 210 is 6090.
LCM(203,210) = 6090
Least Common Multiple of 203 and 210 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 210, than apply into the LCM equation.
GCF(203,210) = 7
LCM(203,210) = ( 203 × 210) / 7
LCM(203,210) = 42630 / 7
LCM(203,210) = 6090
Least Common Multiple (LCM) of 203 and 210 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 203 and 210. First we will calculate the prime factors of 203 and 210.
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 210
Prime factors of 210 are 2, 3, 5, 7. Prime factorization of 210 in exponential form is:
210 = 21 × 31 × 51 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 203 and 210.
LCM(203,210) = 71 × 291 × 21 × 31 × 51
LCM(203,210) = 6090
Related Least Common Multiples of 203
- LCM of 203 and 207
- LCM of 203 and 208
- LCM of 203 and 209
- LCM of 203 and 210
- LCM of 203 and 211
- LCM of 203 and 212
- LCM of 203 and 213
- LCM of 203 and 214
- LCM of 203 and 215
- LCM of 203 and 216
- LCM of 203 and 217
- LCM of 203 and 218
- LCM of 203 and 219
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- LCM of 203 and 221
- LCM of 203 and 222
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Related Least Common Multiples of 210
- LCM of 210 and 214
- LCM of 210 and 215
- LCM of 210 and 216
- LCM of 210 and 217
- LCM of 210 and 218
- LCM of 210 and 219
- LCM of 210 and 220
- LCM of 210 and 221
- LCM of 210 and 222
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- LCM of 210 and 226
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- LCM of 210 and 228
- LCM of 210 and 229
- LCM of 210 and 230