What is the Least Common Multiple of 255 and 268?
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 255 and 268 is 68340.
LCM(255,268) = 68340
Least Common Multiple of 255 and 268 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 255 and 268, than apply into the LCM equation.
GCF(255,268) = 1
LCM(255,268) = ( 255 × 268) / 1
LCM(255,268) = 68340 / 1
LCM(255,268) = 68340
Least Common Multiple (LCM) of 255 and 268 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 255 and 268. First we will calculate the prime factors of 255 and 268.
Prime Factorization of 255
Prime factors of 255 are 3, 5, 17. Prime factorization of 255 in exponential form is:
255 = 31 × 51 × 171
Prime Factorization of 268
Prime factors of 268 are 2, 67. Prime factorization of 268 in exponential form is:
268 = 22 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 255 and 268.
LCM(255,268) = 31 × 51 × 171 × 22 × 671
LCM(255,268) = 68340
Related Least Common Multiples of 255
- LCM of 255 and 259
- LCM of 255 and 260
- LCM of 255 and 261
- LCM of 255 and 262
- LCM of 255 and 263
- LCM of 255 and 264
- LCM of 255 and 265
- LCM of 255 and 266
- LCM of 255 and 267
- LCM of 255 and 268
- LCM of 255 and 269
- LCM of 255 and 270
- LCM of 255 and 271
- LCM of 255 and 272
- LCM of 255 and 273
- LCM of 255 and 274
- LCM of 255 and 275
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