What is the Least Common Multiple of 225 and 232?
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 225 and 232 is 52200.
LCM(225,232) = 52200
Least Common Multiple of 225 and 232 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 225 and 232, than apply into the LCM equation.
GCF(225,232) = 1
LCM(225,232) = ( 225 × 232) / 1
LCM(225,232) = 52200 / 1
LCM(225,232) = 52200
Least Common Multiple (LCM) of 225 and 232 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 225 and 232. First we will calculate the prime factors of 225 and 232.
Prime Factorization of 225
Prime factors of 225 are 3, 5. Prime factorization of 225 in exponential form is:
225 = 32 × 52
Prime Factorization of 232
Prime factors of 232 are 2, 29. Prime factorization of 232 in exponential form is:
232 = 23 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 225 and 232.
LCM(225,232) = 32 × 52 × 23 × 291
LCM(225,232) = 52200
Related Least Common Multiples of 225
- LCM of 225 and 229
- LCM of 225 and 230
- LCM of 225 and 231
- LCM of 225 and 232
- LCM of 225 and 233
- LCM of 225 and 234
- LCM of 225 and 235
- LCM of 225 and 236
- LCM of 225 and 237
- LCM of 225 and 238
- LCM of 225 and 239
- LCM of 225 and 240
- LCM of 225 and 241
- LCM of 225 and 242
- LCM of 225 and 243
- LCM of 225 and 244
- LCM of 225 and 245
Related Least Common Multiples of 232
- LCM of 232 and 236
- LCM of 232 and 237
- LCM of 232 and 238
- LCM of 232 and 239
- LCM of 232 and 240
- LCM of 232 and 241
- LCM of 232 and 242
- LCM of 232 and 243
- LCM of 232 and 244
- LCM of 232 and 245
- LCM of 232 and 246
- LCM of 232 and 247
- LCM of 232 and 248
- LCM of 232 and 249
- LCM of 232 and 250
- LCM of 232 and 251
- LCM of 232 and 252