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 3228 the smallest integer that is 1733436 that is divisible by both numbers.
Least Common Multiple (LCM) of 3222 and 3228 is 1733436.
LCM(3222,3228) = 1733436
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 3228. First we will calculate the prime factors of 3222 and 3228.
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 3228
2 | 3228 |
2 | 1614 |
3 | 807 |
269 | 269 |
1 |
Prime factors of 3228 are 2, 3,269. Prime factorization of 3228 in exponential form is:
3228 = 22×31×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 3222 and 3228.
LCM(3222,3228) = 22×32×1791×2691
LCM(3222,3228) = 1733436
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 3228
List of positive integer factors of 3228 that divides 3228 without a remainder.
1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614, 3228
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3222 and 3228, than apply into the LCM equation.
GCF(3222,3228) = 6
LCM(3222,3228) = ( 3222 × 3228) / 6
LCM(3222,3228) = 10400616 / 6
LCM(3222,3228) = 1733436
(i) The LCM of 3228 and 3222 is associative
LCM of 3222 and 3228 = LCM of 3228 and 3222
1. What is the LCM of 3222 and 3228?
Answer: LCM of 3222 and 3228 is 1733436.
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 3228?
Answer: Factors of 3228 are 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614, 3228. There are 12 integers that are factors of 3228. The greatest factor of 3228 is 3228.
4. How to Find the LCM of 3222 and 3228?
Answer:
Least Common Multiple of 3222 and 3228 = 1733436
Step 1: Find the prime factorization of 3222
3222 = 2 x 3 x 3 x 179
Step 2: Find the prime factorization of 3228
3228 = 2 x 2 x 3 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1733436 = 2 x 2 x 3 x 3 x 179 x 269
Step 4: Therefore, the least common multiple of 3222 and 3228 is 1733436.