Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3630 and 3637 the smallest integer that is 13202310 that is divisible by both numbers.
Least Common Multiple (LCM) of 3630 and 3637 is 13202310.
LCM(3630,3637) = 13202310
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 3630 and 3637. First we will calculate the prime factors of 3630 and 3637.
Prime Factorization of 3630
2 | 3630 |
3 | 1815 |
5 | 605 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 3630 are 2, 3, 5,11. Prime factorization of 3630 in exponential form is:
3630 = 21×31×51×112
Prime Factorization of 3637
3637 | 3637 |
1 |
Prime factors of 3637 are 3637. Prime factorization of 3637 in exponential form is:
3637 = 36371
Now multiplying the highest exponent prime factors to calculate the LCM of 3630 and 3637.
LCM(3630,3637) = 21×31×51×112×36371
LCM(3630,3637) = 13202310
Factors of 3630
List of positive integer factors of 3630 that divides 3630 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630
Factors of 3637
List of positive integer factors of 3637 that divides 3637 without a remainder.
1, 3637
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3630 and 3637, than apply into the LCM equation.
GCF(3630,3637) = 1
LCM(3630,3637) = ( 3630 × 3637) / 1
LCM(3630,3637) = 13202310 / 1
LCM(3630,3637) = 13202310
(i) The LCM of 3637 and 3630 is associative
LCM of 3630 and 3637 = LCM of 3637 and 3630
1. What is the LCM of 3630 and 3637?
Answer: LCM of 3630 and 3637 is 13202310.
2. What are the Factors of 3630?
Answer: Factors of 3630 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630. There are 24 integers that are factors of 3630. The greatest factor of 3630 is 3630.
3. What are the Factors of 3637?
Answer: Factors of 3637 are 1, 3637. There are 2 integers that are factors of 3637. The greatest factor of 3637 is 3637.
4. How to Find the LCM of 3630 and 3637?
Answer:
Least Common Multiple of 3630 and 3637 = 13202310
Step 1: Find the prime factorization of 3630
3630 = 2 x 3 x 5 x 11 x 11
Step 2: Find the prime factorization of 3637
3637 = 3637
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13202310 = 2 x 3 x 5 x 11 x 11 x 3637
Step 4: Therefore, the least common multiple of 3630 and 3637 is 13202310.