What is the Least Common Multiple of 257 and 273?
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 257 and 273 is 70161.
LCM(257,273) = 70161
Least Common Multiple of 257 and 273 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 257 and 273, than apply into the LCM equation.
GCF(257,273) = 1
LCM(257,273) = ( 257 × 273) / 1
LCM(257,273) = 70161 / 1
LCM(257,273) = 70161
Least Common Multiple (LCM) of 257 and 273 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 257 and 273. First we will calculate the prime factors of 257 and 273.
Prime Factorization of 257
Prime factors of 257 are 257. Prime factorization of 257 in exponential form is:
257 = 2571
Prime Factorization of 273
Prime factors of 273 are 3, 7, 13. Prime factorization of 273 in exponential form is:
273 = 31 × 71 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 257 and 273.
LCM(257,273) = 2571 × 31 × 71 × 131
LCM(257,273) = 70161
Related Least Common Multiples of 257
- LCM of 257 and 261
- LCM of 257 and 262
- LCM of 257 and 263
- LCM of 257 and 264
- LCM of 257 and 265
- LCM of 257 and 266
- LCM of 257 and 267
- LCM of 257 and 268
- LCM of 257 and 269
- LCM of 257 and 270
- LCM of 257 and 271
- LCM of 257 and 272
- LCM of 257 and 273
- LCM of 257 and 274
- LCM of 257 and 275
- LCM of 257 and 276
- LCM of 257 and 277
Related Least Common Multiples of 273
- LCM of 273 and 277
- LCM of 273 and 278
- LCM of 273 and 279
- LCM of 273 and 280
- LCM of 273 and 281
- LCM of 273 and 282
- LCM of 273 and 283
- LCM of 273 and 284
- LCM of 273 and 285
- LCM of 273 and 286
- LCM of 273 and 287
- LCM of 273 and 288
- LCM of 273 and 289
- LCM of 273 and 290
- LCM of 273 and 291
- LCM of 273 and 292
- LCM of 273 and 293