What is the Least Common Multiple of 211 and 228?
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 211 and 228 is 48108.
LCM(211,228) = 48108
Least Common Multiple of 211 and 228 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 211 and 228, than apply into the LCM equation.
GCF(211,228) = 1
LCM(211,228) = ( 211 × 228) / 1
LCM(211,228) = 48108 / 1
LCM(211,228) = 48108
Least Common Multiple (LCM) of 211 and 228 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 211 and 228. First we will calculate the prime factors of 211 and 228.
Prime Factorization of 211
Prime factors of 211 are 211. Prime factorization of 211 in exponential form is:
211 = 2111
Prime Factorization of 228
Prime factors of 228 are 2, 3, 19. Prime factorization of 228 in exponential form is:
228 = 22 × 31 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 211 and 228.
LCM(211,228) = 2111 × 22 × 31 × 191
LCM(211,228) = 48108
Related Least Common Multiples of 211
- LCM of 211 and 215
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- LCM of 211 and 218
- LCM of 211 and 219
- LCM of 211 and 220
- LCM of 211 and 221
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- LCM of 211 and 225
- LCM of 211 and 226
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- LCM of 211 and 228
- LCM of 211 and 229
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Related Least Common Multiples of 228
- LCM of 228 and 232
- LCM of 228 and 233
- LCM of 228 and 234
- LCM of 228 and 235
- LCM of 228 and 236
- LCM of 228 and 237
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- LCM of 228 and 247
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