Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3656 and 3662 the smallest integer that is 6694136 that is divisible by both numbers.
Least Common Multiple (LCM) of 3656 and 3662 is 6694136.
LCM(3656,3662) = 6694136
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 3656 and 3662. First we will calculate the prime factors of 3656 and 3662.
Prime Factorization of 3656
2 | 3656 |
2 | 1828 |
2 | 914 |
457 | 457 |
1 |
Prime factors of 3656 are 2,457. Prime factorization of 3656 in exponential form is:
3656 = 23×4571
Prime Factorization of 3662
2 | 3662 |
1831 | 1831 |
1 |
Prime factors of 3662 are 2,1831. Prime factorization of 3662 in exponential form is:
3662 = 21×18311
Now multiplying the highest exponent prime factors to calculate the LCM of 3656 and 3662.
LCM(3656,3662) = 23×4571×18311
LCM(3656,3662) = 6694136
Factors of 3656
List of positive integer factors of 3656 that divides 3656 without a remainder.
1, 2, 4, 8, 457, 914, 1828, 3656
Factors of 3662
List of positive integer factors of 3662 that divides 3662 without a remainder.
1, 2, 1831, 3662
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3656 and 3662, than apply into the LCM equation.
GCF(3656,3662) = 2
LCM(3656,3662) = ( 3656 × 3662) / 2
LCM(3656,3662) = 13388272 / 2
LCM(3656,3662) = 6694136
(i) The LCM of 3662 and 3656 is associative
LCM of 3656 and 3662 = LCM of 3662 and 3656
1. What is the LCM of 3656 and 3662?
Answer: LCM of 3656 and 3662 is 6694136.
2. What are the Factors of 3656?
Answer: Factors of 3656 are 1, 2, 4, 8, 457, 914, 1828, 3656. There are 8 integers that are factors of 3656. The greatest factor of 3656 is 3656.
3. What are the Factors of 3662?
Answer: Factors of 3662 are 1, 2, 1831, 3662. There are 4 integers that are factors of 3662. The greatest factor of 3662 is 3662.
4. How to Find the LCM of 3656 and 3662?
Answer:
Least Common Multiple of 3656 and 3662 = 6694136
Step 1: Find the prime factorization of 3656
3656 = 2 x 2 x 2 x 457
Step 2: Find the prime factorization of 3662
3662 = 2 x 1831
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6694136 = 2 x 2 x 2 x 457 x 1831
Step 4: Therefore, the least common multiple of 3656 and 3662 is 6694136.