What is the Least Common Multiple of 241 and 249?
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 241 and 249 is 60009.
LCM(241,249) = 60009
Least Common Multiple of 241 and 249 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 241 and 249, than apply into the LCM equation.
GCF(241,249) = 1
LCM(241,249) = ( 241 × 249) / 1
LCM(241,249) = 60009 / 1
LCM(241,249) = 60009
Least Common Multiple (LCM) of 241 and 249 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 241 and 249. First we will calculate the prime factors of 241 and 249.
Prime Factorization of 241
Prime factors of 241 are 241. Prime factorization of 241 in exponential form is:
241 = 2411
Prime Factorization of 249
Prime factors of 249 are 3, 83. Prime factorization of 249 in exponential form is:
249 = 31 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 241 and 249.
LCM(241,249) = 2411 × 31 × 831
LCM(241,249) = 60009
Related Least Common Multiples of 241
- LCM of 241 and 245
- LCM of 241 and 246
- LCM of 241 and 247
- LCM of 241 and 248
- LCM of 241 and 249
- LCM of 241 and 250
- LCM of 241 and 251
- LCM of 241 and 252
- LCM of 241 and 253
- LCM of 241 and 254
- LCM of 241 and 255
- LCM of 241 and 256
- LCM of 241 and 257
- LCM of 241 and 258
- LCM of 241 and 259
- LCM of 241 and 260
- LCM of 241 and 261
Related Least Common Multiples of 249
- LCM of 249 and 253
- LCM of 249 and 254
- LCM of 249 and 255
- LCM of 249 and 256
- LCM of 249 and 257
- LCM of 249 and 258
- LCM of 249 and 259
- LCM of 249 and 260
- LCM of 249 and 261
- LCM of 249 and 262
- LCM of 249 and 263
- LCM of 249 and 264
- LCM of 249 and 265
- LCM of 249 and 266
- LCM of 249 and 267
- LCM of 249 and 268
- LCM of 249 and 269