What is the Least Common Multiple of 225 and 242?
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 242 is 54450.
LCM(225,242) = 54450
Least Common Multiple of 225 and 242 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 242, than apply into the LCM equation.
GCF(225,242) = 1
LCM(225,242) = ( 225 × 242) / 1
LCM(225,242) = 54450 / 1
LCM(225,242) = 54450
Least Common Multiple (LCM) of 225 and 242 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 225 and 242. First we will calculate the prime factors of 225 and 242.
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 242
Prime factors of 242 are 2, 11. Prime factorization of 242 in exponential form is:
242 = 21 × 112
Now multiplying the highest exponent prime factors to calculate the LCM of 225 and 242.
LCM(225,242) = 32 × 52 × 21 × 112
LCM(225,242) = 54450
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 242
- LCM of 242 and 246
- LCM of 242 and 247
- LCM of 242 and 248
- LCM of 242 and 249
- LCM of 242 and 250
- LCM of 242 and 251
- LCM of 242 and 252
- LCM of 242 and 253
- LCM of 242 and 254
- LCM of 242 and 255
- LCM of 242 and 256
- LCM of 242 and 257
- LCM of 242 and 258
- LCM of 242 and 259
- LCM of 242 and 260
- LCM of 242 and 261
- LCM of 242 and 262