What is the Least Common Multiple of 195 and 214?
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 195 and 214 is 41730.
LCM(195,214) = 41730
Least Common Multiple of 195 and 214 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 195 and 214, than apply into the LCM equation.
GCF(195,214) = 1
LCM(195,214) = ( 195 × 214) / 1
LCM(195,214) = 41730 / 1
LCM(195,214) = 41730
Least Common Multiple (LCM) of 195 and 214 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 195 and 214. First we will calculate the prime factors of 195 and 214.
Prime Factorization of 195
Prime factors of 195 are 3, 5, 13. Prime factorization of 195 in exponential form is:
195 = 31 × 51 × 131
Prime Factorization of 214
Prime factors of 214 are 2, 107. Prime factorization of 214 in exponential form is:
214 = 21 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 195 and 214.
LCM(195,214) = 31 × 51 × 131 × 21 × 1071
LCM(195,214) = 41730
Related Least Common Multiples of 195
- LCM of 195 and 199
- LCM of 195 and 200
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- LCM of 195 and 202
- LCM of 195 and 203
- LCM of 195 and 204
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- LCM of 195 and 207
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- LCM of 195 and 213
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Related Least Common Multiples of 214
- LCM of 214 and 218
- LCM of 214 and 219
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- LCM of 214 and 221
- LCM of 214 and 222
- LCM of 214 and 223
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- LCM of 214 and 230
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- LCM of 214 and 232
- LCM of 214 and 233
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