What is the Least Common Multiple of 193 and 213?
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 193 and 213 is 41109.
LCM(193,213) = 41109
Least Common Multiple of 193 and 213 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 193 and 213, than apply into the LCM equation.
GCF(193,213) = 1
LCM(193,213) = ( 193 × 213) / 1
LCM(193,213) = 41109 / 1
LCM(193,213) = 41109
Least Common Multiple (LCM) of 193 and 213 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 193 and 213. First we will calculate the prime factors of 193 and 213.
Prime Factorization of 193
Prime factors of 193 are 193. Prime factorization of 193 in exponential form is:
193 = 1931
Prime Factorization of 213
Prime factors of 213 are 3, 71. Prime factorization of 213 in exponential form is:
213 = 31 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 193 and 213.
LCM(193,213) = 1931 × 31 × 711
LCM(193,213) = 41109
Related Least Common Multiples of 193
- LCM of 193 and 197
- LCM of 193 and 198
- LCM of 193 and 199
- LCM of 193 and 200
- LCM of 193 and 201
- LCM of 193 and 202
- LCM of 193 and 203
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- LCM of 193 and 207
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- LCM of 193 and 211
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- LCM of 193 and 213
Related Least Common Multiples of 213
- LCM of 213 and 217
- LCM of 213 and 218
- LCM of 213 and 219
- LCM of 213 and 220
- LCM of 213 and 221
- LCM of 213 and 222
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- LCM of 213 and 229
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- LCM of 213 and 231
- LCM of 213 and 232
- LCM of 213 and 233