What is the Least Common Multiple of 231 and 236?
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 231 and 236 is 54516.
LCM(231,236) = 54516
Least Common Multiple of 231 and 236 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 231 and 236, than apply into the LCM equation.
GCF(231,236) = 1
LCM(231,236) = ( 231 × 236) / 1
LCM(231,236) = 54516 / 1
LCM(231,236) = 54516
Least Common Multiple (LCM) of 231 and 236 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 231 and 236. First we will calculate the prime factors of 231 and 236.
Prime Factorization of 231
Prime factors of 231 are 3, 7, 11. Prime factorization of 231 in exponential form is:
231 = 31 × 71 × 111
Prime Factorization of 236
Prime factors of 236 are 2, 59. Prime factorization of 236 in exponential form is:
236 = 22 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 231 and 236.
LCM(231,236) = 31 × 71 × 111 × 22 × 591
LCM(231,236) = 54516
Related Least Common Multiples of 231
- LCM of 231 and 235
- LCM of 231 and 236
- LCM of 231 and 237
- LCM of 231 and 238
- LCM of 231 and 239
- LCM of 231 and 240
- LCM of 231 and 241
- LCM of 231 and 242
- LCM of 231 and 243
- LCM of 231 and 244
- LCM of 231 and 245
- LCM of 231 and 246
- LCM of 231 and 247
- LCM of 231 and 248
- LCM of 231 and 249
- LCM of 231 and 250
- LCM of 231 and 251
Related Least Common Multiples of 236
- LCM of 236 and 240
- LCM of 236 and 241
- LCM of 236 and 242
- LCM of 236 and 243
- LCM of 236 and 244
- LCM of 236 and 245
- LCM of 236 and 246
- LCM of 236 and 247
- LCM of 236 and 248
- LCM of 236 and 249
- LCM of 236 and 250
- LCM of 236 and 251
- LCM of 236 and 252
- LCM of 236 and 253
- LCM of 236 and 254
- LCM of 236 and 255
- LCM of 236 and 256