Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3222 and 3229 the smallest integer that is 10403838 that is divisible by both numbers.
Least Common Multiple (LCM) of 3222 and 3229 is 10403838.
LCM(3222,3229) = 10403838
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3222 and 3229. First we will calculate the prime factors of 3222 and 3229.
Prime Factorization of 3222
2 | 3222 |
3 | 1611 |
3 | 537 |
179 | 179 |
1 |
Prime factors of 3222 are 2, 3,179. Prime factorization of 3222 in exponential form is:
3222 = 21×32×1791
Prime Factorization of 3229
3229 | 3229 |
1 |
Prime factors of 3229 are 3229. Prime factorization of 3229 in exponential form is:
3229 = 32291
Now multiplying the highest exponent prime factors to calculate the LCM of 3222 and 3229.
LCM(3222,3229) = 21×32×1791×32291
LCM(3222,3229) = 10403838
Factors of 3222
List of positive integer factors of 3222 that divides 3222 without a remainder.
1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222
Factors of 3229
List of positive integer factors of 3229 that divides 3229 without a remainder.
1, 3229
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3222 and 3229, than apply into the LCM equation.
GCF(3222,3229) = 1
LCM(3222,3229) = ( 3222 × 3229) / 1
LCM(3222,3229) = 10403838 / 1
LCM(3222,3229) = 10403838
(i) The LCM of 3229 and 3222 is associative
LCM of 3222 and 3229 = LCM of 3229 and 3222
1. What is the LCM of 3222 and 3229?
Answer: LCM of 3222 and 3229 is 10403838.
2. What are the Factors of 3222?
Answer: Factors of 3222 are 1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222. There are 12 integers that are factors of 3222. The greatest factor of 3222 is 3222.
3. What are the Factors of 3229?
Answer: Factors of 3229 are 1, 3229. There are 2 integers that are factors of 3229. The greatest factor of 3229 is 3229.
4. How to Find the LCM of 3222 and 3229?
Answer:
Least Common Multiple of 3222 and 3229 = 10403838
Step 1: Find the prime factorization of 3222
3222 = 2 x 3 x 3 x 179
Step 2: Find the prime factorization of 3229
3229 = 3229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10403838 = 2 x 3 x 3 x 179 x 3229
Step 4: Therefore, the least common multiple of 3222 and 3229 is 10403838.