What is the Least Common Multiple of 189 and 197?
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 189 and 197 is 37233.
LCM(189,197) = 37233
Least Common Multiple of 189 and 197 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 189 and 197, than apply into the LCM equation.
GCF(189,197) = 1
LCM(189,197) = ( 189 × 197) / 1
LCM(189,197) = 37233 / 1
LCM(189,197) = 37233
Least Common Multiple (LCM) of 189 and 197 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 189 and 197. First we will calculate the prime factors of 189 and 197.
Prime Factorization of 189
Prime factors of 189 are 3, 7. Prime factorization of 189 in exponential form is:
189 = 33 × 71
Prime Factorization of 197
Prime factors of 197 are 197. Prime factorization of 197 in exponential form is:
197 = 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 189 and 197.
LCM(189,197) = 33 × 71 × 1971
LCM(189,197) = 37233
Related Least Common Multiples of 189
- LCM of 189 and 193
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- LCM of 189 and 195
- LCM of 189 and 196
- LCM of 189 and 197
- LCM of 189 and 198
- LCM of 189 and 199
- LCM of 189 and 200
- LCM of 189 and 201
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- LCM of 189 and 203
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Related Least Common Multiples of 197
- LCM of 197 and 201
- LCM of 197 and 202
- LCM of 197 and 203
- LCM of 197 and 204
- LCM of 197 and 205
- LCM of 197 and 206
- LCM of 197 and 207
- LCM of 197 and 208
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- LCM of 197 and 213
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- LCM of 197 and 215
- LCM of 197 and 216
- LCM of 197 and 217