Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3252 and 3258 the smallest integer that is 1765836 that is divisible by both numbers.
Least Common Multiple (LCM) of 3252 and 3258 is 1765836.
LCM(3252,3258) = 1765836
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 3252 and 3258. First we will calculate the prime factors of 3252 and 3258.
Prime Factorization of 3252
2 | 3252 |
2 | 1626 |
3 | 813 |
271 | 271 |
1 |
Prime factors of 3252 are 2, 3,271. Prime factorization of 3252 in exponential form is:
3252 = 22×31×2711
Prime Factorization of 3258
2 | 3258 |
3 | 1629 |
3 | 543 |
181 | 181 |
1 |
Prime factors of 3258 are 2, 3,181. Prime factorization of 3258 in exponential form is:
3258 = 21×32×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 3252 and 3258.
LCM(3252,3258) = 22×32×1811×2711
LCM(3252,3258) = 1765836
Factors of 3252
List of positive integer factors of 3252 that divides 3252 without a remainder.
1, 2, 3, 4, 6, 12, 271, 542, 813, 1084, 1626, 3252
Factors of 3258
List of positive integer factors of 3258 that divides 3258 without a remainder.
1, 2, 3, 6, 9, 18, 181, 362, 543, 1086, 1629, 3258
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3252 and 3258, than apply into the LCM equation.
GCF(3252,3258) = 6
LCM(3252,3258) = ( 3252 × 3258) / 6
LCM(3252,3258) = 10595016 / 6
LCM(3252,3258) = 1765836
(i) The LCM of 3258 and 3252 is associative
LCM of 3252 and 3258 = LCM of 3258 and 3252
1. What is the LCM of 3252 and 3258?
Answer: LCM of 3252 and 3258 is 1765836.
2. What are the Factors of 3252?
Answer: Factors of 3252 are 1, 2, 3, 4, 6, 12, 271, 542, 813, 1084, 1626, 3252. There are 12 integers that are factors of 3252. The greatest factor of 3252 is 3252.
3. What are the Factors of 3258?
Answer: Factors of 3258 are 1, 2, 3, 6, 9, 18, 181, 362, 543, 1086, 1629, 3258. There are 12 integers that are factors of 3258. The greatest factor of 3258 is 3258.
4. How to Find the LCM of 3252 and 3258?
Answer:
Least Common Multiple of 3252 and 3258 = 1765836
Step 1: Find the prime factorization of 3252
3252 = 2 x 2 x 3 x 271
Step 2: Find the prime factorization of 3258
3258 = 2 x 3 x 3 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1765836 = 2 x 2 x 3 x 3 x 181 x 271
Step 4: Therefore, the least common multiple of 3252 and 3258 is 1765836.