What is the Least Common Multiple of 224 and 233?
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 224 and 233 is 52192.
LCM(224,233) = 52192
Least Common Multiple of 224 and 233 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 224 and 233, than apply into the LCM equation.
GCF(224,233) = 1
LCM(224,233) = ( 224 × 233) / 1
LCM(224,233) = 52192 / 1
LCM(224,233) = 52192
Least Common Multiple (LCM) of 224 and 233 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 224 and 233. First we will calculate the prime factors of 224 and 233.
Prime Factorization of 224
Prime factors of 224 are 2, 7. Prime factorization of 224 in exponential form is:
224 = 25 × 71
Prime Factorization of 233
Prime factors of 233 are 233. Prime factorization of 233 in exponential form is:
233 = 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 224 and 233.
LCM(224,233) = 25 × 71 × 2331
LCM(224,233) = 52192
Related Least Common Multiples of 224
- LCM of 224 and 228
- LCM of 224 and 229
- LCM of 224 and 230
- LCM of 224 and 231
- LCM of 224 and 232
- LCM of 224 and 233
- LCM of 224 and 234
- LCM of 224 and 235
- LCM of 224 and 236
- LCM of 224 and 237
- LCM of 224 and 238
- LCM of 224 and 239
- LCM of 224 and 240
- LCM of 224 and 241
- LCM of 224 and 242
- LCM of 224 and 243
- LCM of 224 and 244
Related Least Common Multiples of 233
- LCM of 233 and 237
- LCM of 233 and 238
- LCM of 233 and 239
- LCM of 233 and 240
- LCM of 233 and 241
- LCM of 233 and 242
- LCM of 233 and 243
- LCM of 233 and 244
- LCM of 233 and 245
- LCM of 233 and 246
- LCM of 233 and 247
- LCM of 233 and 248
- LCM of 233 and 249
- LCM of 233 and 250
- LCM of 233 and 251
- LCM of 233 and 252
- LCM of 233 and 253