What is the Least Common Multiple of 219 and 225?
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 219 and 225 is 16425.
LCM(219,225) = 16425
Least Common Multiple of 219 and 225 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 219 and 225, than apply into the LCM equation.
GCF(219,225) = 3
LCM(219,225) = ( 219 × 225) / 3
LCM(219,225) = 49275 / 3
LCM(219,225) = 16425
Least Common Multiple (LCM) of 219 and 225 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 219 and 225. First we will calculate the prime factors of 219 and 225.
Prime Factorization of 219
Prime factors of 219 are 3, 73. Prime factorization of 219 in exponential form is:
219 = 31 × 731
Prime Factorization of 225
Prime factors of 225 are 3, 5. Prime factorization of 225 in exponential form is:
225 = 32 × 52
Now multiplying the highest exponent prime factors to calculate the LCM of 219 and 225.
LCM(219,225) = 32 × 731 × 52
LCM(219,225) = 16425
Related Least Common Multiples of 219
- LCM of 219 and 223
- LCM of 219 and 224
- LCM of 219 and 225
- LCM of 219 and 226
- LCM of 219 and 227
- LCM of 219 and 228
- LCM of 219 and 229
- LCM of 219 and 230
- LCM of 219 and 231
- LCM of 219 and 232
- LCM of 219 and 233
- LCM of 219 and 234
- LCM of 219 and 235
- LCM of 219 and 236
- LCM of 219 and 237
- LCM of 219 and 238
- LCM of 219 and 239
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