What is the Least Common Multiple of 272 and 291?
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 272 and 291 is 79152.
LCM(272,291) = 79152
Least Common Multiple of 272 and 291 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 272 and 291, than apply into the LCM equation.
GCF(272,291) = 1
LCM(272,291) = ( 272 × 291) / 1
LCM(272,291) = 79152 / 1
LCM(272,291) = 79152
Least Common Multiple (LCM) of 272 and 291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 272 and 291. First we will calculate the prime factors of 272 and 291.
Prime Factorization of 272
Prime factors of 272 are 2, 17. Prime factorization of 272 in exponential form is:
272 = 24 × 171
Prime Factorization of 291
Prime factors of 291 are 3, 97. Prime factorization of 291 in exponential form is:
291 = 31 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 272 and 291.
LCM(272,291) = 24 × 171 × 31 × 971
LCM(272,291) = 79152
Related Least Common Multiples of 272
- LCM of 272 and 276
- LCM of 272 and 277
- LCM of 272 and 278
- LCM of 272 and 279
- LCM of 272 and 280
- LCM of 272 and 281
- LCM of 272 and 282
- LCM of 272 and 283
- LCM of 272 and 284
- LCM of 272 and 285
- LCM of 272 and 286
- LCM of 272 and 287
- LCM of 272 and 288
- LCM of 272 and 289
- LCM of 272 and 290
- LCM of 272 and 291
- LCM of 272 and 292
Related Least Common Multiples of 291
- LCM of 291 and 295
- LCM of 291 and 296
- LCM of 291 and 297
- LCM of 291 and 298
- LCM of 291 and 299
- LCM of 291 and 300
- LCM of 291 and 301
- LCM of 291 and 302
- LCM of 291 and 303
- LCM of 291 and 304
- LCM of 291 and 305
- LCM of 291 and 306
- LCM of 291 and 307
- LCM of 291 and 308
- LCM of 291 and 309
- LCM of 291 and 310
- LCM of 291 and 311