Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5656 and 5660 the smallest integer that is 8003240 that is divisible by both numbers.
Least Common Multiple (LCM) of 5656 and 5660 is 8003240.
LCM(5656,5660) = 8003240
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 5656 and 5660. First we will calculate the prime factors of 5656 and 5660.
Prime Factorization of 5656
2 | 5656 |
2 | 2828 |
2 | 1414 |
7 | 707 |
101 | 101 |
1 |
Prime factors of 5656 are 2, 7,101. Prime factorization of 5656 in exponential form is:
5656 = 23×71×1011
Prime Factorization of 5660
2 | 5660 |
2 | 2830 |
5 | 1415 |
283 | 283 |
1 |
Prime factors of 5660 are 2, 5,283. Prime factorization of 5660 in exponential form is:
5660 = 22×51×2831
Now multiplying the highest exponent prime factors to calculate the LCM of 5656 and 5660.
LCM(5656,5660) = 23×51×71×1011×2831
LCM(5656,5660) = 8003240
Factors of 5656
List of positive integer factors of 5656 that divides 5656 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656
Factors of 5660
List of positive integer factors of 5660 that divides 5660 without a remainder.
1, 2, 4, 5, 10, 20, 283, 566, 1132, 1415, 2830, 5660
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5656 and 5660, than apply into the LCM equation.
GCF(5656,5660) = 4
LCM(5656,5660) = ( 5656 × 5660) / 4
LCM(5656,5660) = 32012960 / 4
LCM(5656,5660) = 8003240
(i) The LCM of 5660 and 5656 is associative
LCM of 5656 and 5660 = LCM of 5660 and 5656
1. What is the LCM of 5656 and 5660?
Answer: LCM of 5656 and 5660 is 8003240.
2. What are the Factors of 5656?
Answer: Factors of 5656 are 1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656. There are 16 integers that are factors of 5656. The greatest factor of 5656 is 5656.
3. What are the Factors of 5660?
Answer: Factors of 5660 are 1, 2, 4, 5, 10, 20, 283, 566, 1132, 1415, 2830, 5660. There are 12 integers that are factors of 5660. The greatest factor of 5660 is 5660.
4. How to Find the LCM of 5656 and 5660?
Answer:
Least Common Multiple of 5656 and 5660 = 8003240
Step 1: Find the prime factorization of 5656
5656 = 2 x 2 x 2 x 7 x 101
Step 2: Find the prime factorization of 5660
5660 = 2 x 2 x 5 x 283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8003240 = 2 x 2 x 2 x 5 x 7 x 101 x 283
Step 4: Therefore, the least common multiple of 5656 and 5660 is 8003240.