What is the Least Common Multiple of 215 and 224?
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 215 and 224 is 48160.
LCM(215,224) = 48160
Least Common Multiple of 215 and 224 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 215 and 224, than apply into the LCM equation.
GCF(215,224) = 1
LCM(215,224) = ( 215 × 224) / 1
LCM(215,224) = 48160 / 1
LCM(215,224) = 48160
Least Common Multiple (LCM) of 215 and 224 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 215 and 224. First we will calculate the prime factors of 215 and 224.
Prime Factorization of 215
Prime factors of 215 are 5, 43. Prime factorization of 215 in exponential form is:
215 = 51 × 431
Prime Factorization of 224
Prime factors of 224 are 2, 7. Prime factorization of 224 in exponential form is:
224 = 25 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 215 and 224.
LCM(215,224) = 51 × 431 × 25 × 71
LCM(215,224) = 48160
Related Least Common Multiples of 215
- LCM of 215 and 219
- LCM of 215 and 220
- LCM of 215 and 221
- LCM of 215 and 222
- LCM of 215 and 223
- LCM of 215 and 224
- LCM of 215 and 225
- LCM of 215 and 226
- LCM of 215 and 227
- LCM of 215 and 228
- LCM of 215 and 229
- LCM of 215 and 230
- LCM of 215 and 231
- LCM of 215 and 232
- LCM of 215 and 233
- LCM of 215 and 234
- LCM of 215 and 235
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