What is the Least Common Multiple of 212 and 217?
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 212 and 217 is 46004.
LCM(212,217) = 46004
Least Common Multiple of 212 and 217 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 212 and 217, than apply into the LCM equation.
GCF(212,217) = 1
LCM(212,217) = ( 212 × 217) / 1
LCM(212,217) = 46004 / 1
LCM(212,217) = 46004
Least Common Multiple (LCM) of 212 and 217 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 212 and 217. First we will calculate the prime factors of 212 and 217.
Prime Factorization of 212
Prime factors of 212 are 2, 53. Prime factorization of 212 in exponential form is:
212 = 22 × 531
Prime Factorization of 217
Prime factors of 217 are 7, 31. Prime factorization of 217 in exponential form is:
217 = 71 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 212 and 217.
LCM(212,217) = 22 × 531 × 71 × 311
LCM(212,217) = 46004
Related Least Common Multiples of 212
- LCM of 212 and 216
- LCM of 212 and 217
- LCM of 212 and 218
- LCM of 212 and 219
- LCM of 212 and 220
- LCM of 212 and 221
- LCM of 212 and 222
- LCM of 212 and 223
- LCM of 212 and 224
- LCM of 212 and 225
- LCM of 212 and 226
- LCM of 212 and 227
- LCM of 212 and 228
- LCM of 212 and 229
- LCM of 212 and 230
- LCM of 212 and 231
- LCM of 212 and 232
Related Least Common Multiples of 217
- LCM of 217 and 221
- LCM of 217 and 222
- LCM of 217 and 223
- LCM of 217 and 224
- LCM of 217 and 225
- LCM of 217 and 226
- LCM of 217 and 227
- LCM of 217 and 228
- LCM of 217 and 229
- LCM of 217 and 230
- LCM of 217 and 231
- LCM of 217 and 232
- LCM of 217 and 233
- LCM of 217 and 234
- LCM of 217 and 235
- LCM of 217 and 236
- LCM of 217 and 237