Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3484 and 3492 the smallest integer that is 3041532 that is divisible by both numbers.
Least Common Multiple (LCM) of 3484 and 3492 is 3041532.
LCM(3484,3492) = 3041532
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 3484 and 3492. First we will calculate the prime factors of 3484 and 3492.
Prime Factorization of 3484
2 | 3484 |
2 | 1742 |
13 | 871 |
67 | 67 |
1 |
Prime factors of 3484 are 2, 13,67. Prime factorization of 3484 in exponential form is:
3484 = 22×131×671
Prime Factorization of 3492
2 | 3492 |
2 | 1746 |
3 | 873 |
3 | 291 |
97 | 97 |
1 |
Prime factors of 3492 are 2, 3,97. Prime factorization of 3492 in exponential form is:
3492 = 22×32×971
Now multiplying the highest exponent prime factors to calculate the LCM of 3484 and 3492.
LCM(3484,3492) = 22×32×131×671×971
LCM(3484,3492) = 3041532
Factors of 3484
List of positive integer factors of 3484 that divides 3484 without a remainder.
1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484
Factors of 3492
List of positive integer factors of 3492 that divides 3492 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3484 and 3492, than apply into the LCM equation.
GCF(3484,3492) = 4
LCM(3484,3492) = ( 3484 × 3492) / 4
LCM(3484,3492) = 12166128 / 4
LCM(3484,3492) = 3041532
(i) The LCM of 3492 and 3484 is associative
LCM of 3484 and 3492 = LCM of 3492 and 3484
1. What is the LCM of 3484 and 3492?
Answer: LCM of 3484 and 3492 is 3041532.
2. What are the Factors of 3484?
Answer: Factors of 3484 are 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484. There are 12 integers that are factors of 3484. The greatest factor of 3484 is 3484.
3. What are the Factors of 3492?
Answer: Factors of 3492 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492. There are 18 integers that are factors of 3492. The greatest factor of 3492 is 3492.
4. How to Find the LCM of 3484 and 3492?
Answer:
Least Common Multiple of 3484 and 3492 = 3041532
Step 1: Find the prime factorization of 3484
3484 = 2 x 2 x 13 x 67
Step 2: Find the prime factorization of 3492
3492 = 2 x 2 x 3 x 3 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3041532 = 2 x 2 x 3 x 3 x 13 x 67 x 97
Step 4: Therefore, the least common multiple of 3484 and 3492 is 3041532.