Least Common Multiple of 637 and 645
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 645 the smallest integer that is 410865 that is divisible by both numbers.
Least Common Multiple (LCM) of 637 and 645 is 410865.
LCM(637,645) = 410865
LCM of 637 and 645
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 637 and 645 by Prime method
- Least Common Multiple of 637 and 645 with GCF Formula
LCM of 637 and 645 is 410865
Least common multiple can be found by multiplying the highest exponent prime factors of 637 and 645. First we will calculate the prime factors of 637 and 645.
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 645
| 3 | 645 |
| 5 | 215 |
| 43 | 43 |
| 1 |
Prime factors of 645 are 3, 5,43. Prime factorization of 645 in exponential form is:
645 = 31×51×431
Now multiplying the highest exponent prime factors to calculate the LCM of 637 and 645.
LCM(637,645) = 31×51×72×131×431
LCM(637,645) = 410865
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Least Common Multiple of 637 and 645 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 637 and 645, than apply into the LCM equation.
GCF(637,645) = 1
LCM(637,645) = ( 637 × 645) / 1
LCM(637,645) = 410865 / 1
LCM(637,645) = 410865
Properties of LCM 637 and 645
(i) The LCM of 645 and 637 is associative
LCM of 637 and 645 = LCM of 645 and 637
Related Least Common Multiples of 637
Related Least Common Multiples of 645
Frequently Asked Questions on LCM of 637 and 645
1. What is the LCM of 637 and 645?
Answer: LCM of 637 and 645 is 410865.
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 645?
Answer: Factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645. There are 8 integers that are factors of 645. The greatest factor of 645 is 645.
4. How to Find the LCM of 637 and 645?
Answer:
Least Common Multiple of 637 and 645 = 410865
Step 1: Find the prime factorization of 637
637 = 7 x 7 x 13
Step 2: Find the prime factorization of 645
645 = 3 x 5 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 410865 = 3 x 5 x 7 x 7 x 13 x 43
Step 4: Therefore, the least common multiple of 637 and 645 is 410865.