Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3637 and 3641 the smallest integer that is 13242317 that is divisible by both numbers.
Least Common Multiple (LCM) of 3637 and 3641 is 13242317.
LCM(3637,3641) = 13242317
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 3637 and 3641. First we will calculate the prime factors of 3637 and 3641.
Prime Factorization of 3637
3637 | 3637 |
1 |
Prime factors of 3637 are 3637. Prime factorization of 3637 in exponential form is:
3637 = 36371
Prime Factorization of 3641
11 | 3641 |
331 | 331 |
1 |
Prime factors of 3641 are 11,331. Prime factorization of 3641 in exponential form is:
3641 = 111×3311
Now multiplying the highest exponent prime factors to calculate the LCM of 3637 and 3641.
LCM(3637,3641) = 111×3311×36371
LCM(3637,3641) = 13242317
Factors of 3637
List of positive integer factors of 3637 that divides 3637 without a remainder.
1, 3637
Factors of 3641
List of positive integer factors of 3641 that divides 3641 without a remainder.
1, 11, 331, 3641
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3637 and 3641, than apply into the LCM equation.
GCF(3637,3641) = 1
LCM(3637,3641) = ( 3637 × 3641) / 1
LCM(3637,3641) = 13242317 / 1
LCM(3637,3641) = 13242317
(i) The LCM of 3641 and 3637 is associative
LCM of 3637 and 3641 = LCM of 3641 and 3637
1. What is the LCM of 3637 and 3641?
Answer: LCM of 3637 and 3641 is 13242317.
2. 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.
3. What are the Factors of 3641?
Answer: Factors of 3641 are 1, 11, 331, 3641. There are 4 integers that are factors of 3641. The greatest factor of 3641 is 3641.
4. How to Find the LCM of 3637 and 3641?
Answer:
Least Common Multiple of 3637 and 3641 = 13242317
Step 1: Find the prime factorization of 3637
3637 = 3637
Step 2: Find the prime factorization of 3641
3641 = 11 x 331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13242317 = 11 x 331 x 3637
Step 4: Therefore, the least common multiple of 3637 and 3641 is 13242317.