What is the Least Common Multiple of 212 and 220?
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 220 is 11660.
LCM(212,220) = 11660
Least Common Multiple of 212 and 220 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 220, than apply into the LCM equation.
GCF(212,220) = 4
LCM(212,220) = ( 212 × 220) / 4
LCM(212,220) = 46640 / 4
LCM(212,220) = 11660
Least Common Multiple (LCM) of 212 and 220 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 212 and 220. First we will calculate the prime factors of 212 and 220.
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 220
Prime factors of 220 are 2, 5, 11. Prime factorization of 220 in exponential form is:
220 = 22 × 51 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 212 and 220.
LCM(212,220) = 22 × 531 × 51 × 111
LCM(212,220) = 11660
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
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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