What is the Least Common Multiple of 261 and 269?
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 261 and 269 is 70209.
LCM(261,269) = 70209
Least Common Multiple of 261 and 269 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 261 and 269, than apply into the LCM equation.
GCF(261,269) = 1
LCM(261,269) = ( 261 × 269) / 1
LCM(261,269) = 70209 / 1
LCM(261,269) = 70209
Least Common Multiple (LCM) of 261 and 269 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 261 and 269. First we will calculate the prime factors of 261 and 269.
Prime Factorization of 261
Prime factors of 261 are 3, 29. Prime factorization of 261 in exponential form is:
261 = 32 × 291
Prime Factorization of 269
Prime factors of 269 are 269. Prime factorization of 269 in exponential form is:
269 = 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 261 and 269.
LCM(261,269) = 32 × 291 × 2691
LCM(261,269) = 70209
Related Least Common Multiples of 261
- LCM of 261 and 265
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- LCM of 261 and 268
- LCM of 261 and 269
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Related Least Common Multiples of 269
- LCM of 269 and 273
- LCM of 269 and 274
- LCM of 269 and 275
- LCM of 269 and 276
- LCM of 269 and 277
- LCM of 269 and 278
- LCM of 269 and 279
- LCM of 269 and 280
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- LCM of 269 and 283
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- LCM of 269 and 285
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- LCM of 269 and 287
- LCM of 269 and 288
- LCM of 269 and 289