What is the Least Common Multiple of 220 and 229?
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 220 and 229 is 50380.
LCM(220,229) = 50380
Least Common Multiple of 220 and 229 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 220 and 229, than apply into the LCM equation.
GCF(220,229) = 1
LCM(220,229) = ( 220 × 229) / 1
LCM(220,229) = 50380 / 1
LCM(220,229) = 50380
Least Common Multiple (LCM) of 220 and 229 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 220 and 229. First we will calculate the prime factors of 220 and 229.
Prime Factorization of 220
Prime factors of 220 are 2, 5, 11. Prime factorization of 220 in exponential form is:
220 = 22 × 51 × 111
Prime Factorization of 229
Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:
229 = 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 220 and 229.
LCM(220,229) = 22 × 51 × 111 × 2291
LCM(220,229) = 50380
Related Least Common Multiples of 220
- LCM of 220 and 224
- LCM of 220 and 225
- LCM of 220 and 226
- LCM of 220 and 227
- LCM of 220 and 228
- LCM of 220 and 229
- LCM of 220 and 230
- LCM of 220 and 231
- LCM of 220 and 232
- LCM of 220 and 233
- LCM of 220 and 234
- LCM of 220 and 235
- LCM of 220 and 236
- LCM of 220 and 237
- LCM of 220 and 238
- LCM of 220 and 239
- LCM of 220 and 240
Related Least Common Multiples of 229
- LCM of 229 and 233
- LCM of 229 and 234
- LCM of 229 and 235
- LCM of 229 and 236
- LCM of 229 and 237
- LCM of 229 and 238
- LCM of 229 and 239
- LCM of 229 and 240
- LCM of 229 and 241
- LCM of 229 and 242
- LCM of 229 and 243
- LCM of 229 and 244
- LCM of 229 and 245
- LCM of 229 and 246
- LCM of 229 and 247
- LCM of 229 and 248
- LCM of 229 and 249