Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 637 and 641 the smallest integer that is 408317 that is divisible by both numbers.
Least Common Multiple (LCM) of 637 and 641 is 408317.
LCM(637,641) = 408317
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 637 and 641. First we will calculate the prime factors of 637 and 641.
Prime Factorization of 637
7 | 637 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 637 are 7,13. Prime factorization of 637 in exponential form is:
637 = 72×131
Prime Factorization of 641
641 | 641 |
1 |
Prime factors of 641 are 641. Prime factorization of 641 in exponential form is:
641 = 6411
Now multiplying the highest exponent prime factors to calculate the LCM of 637 and 641.
LCM(637,641) = 72×131×6411
LCM(637,641) = 408317
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1, 641
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 637 and 641, than apply into the LCM equation.
GCF(637,641) = 1
LCM(637,641) = ( 637 × 641) / 1
LCM(637,641) = 408317 / 1
LCM(637,641) = 408317
(i) The LCM of 641 and 637 is associative
LCM of 637 and 641 = LCM of 641 and 637
1. What is the LCM of 637 and 641?
Answer: LCM of 637 and 641 is 408317.
2. What are the Factors of 637?
Answer: Factors of 637 are 1, 7, 13, 49, 91, 637. There are 6 integers that are factors of 637. The greatest factor of 637 is 637.
3. What are the Factors of 641?
Answer: Factors of 641 are 1, 641. There are 2 integers that are factors of 641. The greatest factor of 641 is 641.
4. How to Find the LCM of 637 and 641?
Answer:
Least Common Multiple of 637 and 641 = 408317
Step 1: Find the prime factorization of 637
637 = 7 x 7 x 13
Step 2: Find the prime factorization of 641
641 = 641
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 408317 = 7 x 7 x 13 x 641
Step 4: Therefore, the least common multiple of 637 and 641 is 408317.