What is the Least Common Multiple of 268 and 272?
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 268 and 272 is 18224.
LCM(268,272) = 18224
Least Common Multiple of 268 and 272 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 268 and 272, than apply into the LCM equation.
GCF(268,272) = 4
LCM(268,272) = ( 268 × 272) / 4
LCM(268,272) = 72896 / 4
LCM(268,272) = 18224
Least Common Multiple (LCM) of 268 and 272 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 268 and 272. First we will calculate the prime factors of 268 and 272.
Prime Factorization of 268
Prime factors of 268 are 2, 67. Prime factorization of 268 in exponential form is:
268 = 22 × 671
Prime Factorization of 272
Prime factors of 272 are 2, 17. Prime factorization of 272 in exponential form is:
272 = 24 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 268 and 272.
LCM(268,272) = 24 × 671 × 171
LCM(268,272) = 18224
Related Least Common Multiples of 268
- LCM of 268 and 272
- LCM of 268 and 273
- LCM of 268 and 274
- LCM of 268 and 275
- LCM of 268 and 276
- LCM of 268 and 277
- LCM of 268 and 278
- LCM of 268 and 279
- LCM of 268 and 280
- LCM of 268 and 281
- LCM of 268 and 282
- LCM of 268 and 283
- LCM of 268 and 284
- LCM of 268 and 285
- LCM of 268 and 286
- LCM of 268 and 287
- LCM of 268 and 288
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