What is the Least Common Multiple of 253 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 253 and 272 is 68816.
LCM(253,272) = 68816
Least Common Multiple of 253 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 253 and 272, than apply into the LCM equation.
GCF(253,272) = 1
LCM(253,272) = ( 253 × 272) / 1
LCM(253,272) = 68816 / 1
LCM(253,272) = 68816
Least Common Multiple (LCM) of 253 and 272 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 253 and 272. First we will calculate the prime factors of 253 and 272.
Prime Factorization of 253
Prime factors of 253 are 11, 23. Prime factorization of 253 in exponential form is:
253 = 111 × 231
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 253 and 272.
LCM(253,272) = 111 × 231 × 24 × 171
LCM(253,272) = 68816
Related Least Common Multiples of 253
- LCM of 253 and 257
- LCM of 253 and 258
- LCM of 253 and 259
- LCM of 253 and 260
- LCM of 253 and 261
- LCM of 253 and 262
- LCM of 253 and 263
- LCM of 253 and 264
- LCM of 253 and 265
- LCM of 253 and 266
- LCM of 253 and 267
- LCM of 253 and 268
- LCM of 253 and 269
- LCM of 253 and 270
- LCM of 253 and 271
- LCM of 253 and 272
- LCM of 253 and 273
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