What is the Least Common Multiple of 269 and 276?
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 269 and 276 is 74244.
LCM(269,276) = 74244
Least Common Multiple of 269 and 276 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 269 and 276, than apply into the LCM equation.
GCF(269,276) = 1
LCM(269,276) = ( 269 × 276) / 1
LCM(269,276) = 74244 / 1
LCM(269,276) = 74244
Least Common Multiple (LCM) of 269 and 276 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 269 and 276. First we will calculate the prime factors of 269 and 276.
Prime Factorization of 269
Prime factors of 269 are 269. Prime factorization of 269 in exponential form is:
269 = 2691
Prime Factorization of 276
Prime factors of 276 are 2, 3, 23. Prime factorization of 276 in exponential form is:
276 = 22 × 31 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 269 and 276.
LCM(269,276) = 2691 × 22 × 31 × 231
LCM(269,276) = 74244
Related Least Common Multiples of 269
- LCM of 269 and 273
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- 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
- LCM of 269 and 281
- LCM of 269 and 282
- LCM of 269 and 283
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Related Least Common Multiples of 276
- LCM of 276 and 280
- LCM of 276 and 281
- LCM of 276 and 282
- LCM of 276 and 283
- LCM of 276 and 284
- LCM of 276 and 285
- LCM of 276 and 286
- LCM of 276 and 287
- LCM of 276 and 288
- LCM of 276 and 289
- LCM of 276 and 290
- LCM of 276 and 291
- LCM of 276 and 292
- LCM of 276 and 293
- LCM of 276 and 294
- LCM of 276 and 295
- LCM of 276 and 296