What is the Least Common Multiple of 12204 and 12213?
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 12204 and 12213 is 16560828.
LCM(12204,12213) = 16560828
Least Common Multiple of 12204 and 12213 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12204 and 12213, than apply into the LCM equation.
GCF(12204,12213) = 9
LCM(12204,12213) = ( 12204 × 12213) / 9
LCM(12204,12213) = 149047452 / 9
LCM(12204,12213) = 16560828
Least Common Multiple (LCM) of 12204 and 12213 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12204 and 12213. First we will calculate the prime factors of 12204 and 12213.
Prime Factorization of 12204
Prime factors of 12204 are 2, 3, 113. Prime factorization of 12204 in exponential form is:
12204 = 22 × 33 × 1131
Prime Factorization of 12213
Prime factors of 12213 are 3, 23, 59. Prime factorization of 12213 in exponential form is:
12213 = 32 × 231 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 12204 and 12213.
LCM(12204,12213) = 22 × 33 × 1131 × 231 × 591
LCM(12204,12213) = 16560828
Related Least Common Multiples of 12204
- LCM of 12204 and 12208
- LCM of 12204 and 12209
- LCM of 12204 and 12210
- LCM of 12204 and 12211
- LCM of 12204 and 12212
- LCM of 12204 and 12213
- LCM of 12204 and 12214
- LCM of 12204 and 12215
- LCM of 12204 and 12216
- LCM of 12204 and 12217
- LCM of 12204 and 12218
- LCM of 12204 and 12219
- LCM of 12204 and 12220
- LCM of 12204 and 12221
- LCM of 12204 and 12222
- LCM of 12204 and 12223
- LCM of 12204 and 12224
Related Least Common Multiples of 12213
- LCM of 12213 and 12217
- LCM of 12213 and 12218
- LCM of 12213 and 12219
- LCM of 12213 and 12220
- LCM of 12213 and 12221
- LCM of 12213 and 12222
- LCM of 12213 and 12223
- LCM of 12213 and 12224
- LCM of 12213 and 12225
- LCM of 12213 and 12226
- LCM of 12213 and 12227
- LCM of 12213 and 12228
- LCM of 12213 and 12229
- LCM of 12213 and 12230
- LCM of 12213 and 12231
- LCM of 12213 and 12232
- LCM of 12213 and 12233