Least Common Multiple of 731 and 737
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 731 and 737 the smallest integer that is 538747 that is divisible by both numbers.
Least Common Multiple (LCM) of 731 and 737 is 538747.
LCM(731,737) = 538747
LCM of 731 and 737
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 731 and 737 by Prime method
- Least Common Multiple of 731 and 737 with GCF Formula
LCM of 731 and 737 is 538747
Least common multiple can be found by multiplying the highest exponent prime factors of 731 and 737. First we will calculate the prime factors of 731 and 737.
Prime Factorization of 731
| 17 | 731 |
| 43 | 43 |
| 1 |
Prime factors of 731 are 17,43. Prime factorization of 731 in exponential form is:
731 = 171×431
Prime Factorization of 737
| 11 | 737 |
| 67 | 67 |
| 1 |
Prime factors of 737 are 11,67. Prime factorization of 737 in exponential form is:
737 = 111×671
Now multiplying the highest exponent prime factors to calculate the LCM of 731 and 737.
LCM(731,737) = 111×171×431×671
LCM(731,737) = 538747
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Least Common Multiple of 731 and 737 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 731 and 737, than apply into the LCM equation.
GCF(731,737) = 1
LCM(731,737) = ( 731 × 737) / 1
LCM(731,737) = 538747 / 1
LCM(731,737) = 538747
Properties of LCM 731 and 737
(i) The LCM of 737 and 731 is associative
LCM of 731 and 737 = LCM of 737 and 731
Related Least Common Multiples of 731
Related Least Common Multiples of 737
Frequently Asked Questions on LCM of 731 and 737
1. What is the LCM of 731 and 737?
Answer: LCM of 731 and 737 is 538747.
2. What are the Factors of 731?
Answer: Factors of 731 are 1, 17, 43, 731. There are 4 integers that are factors of 731. The greatest factor of 731 is 731.
3. What are the Factors of 737?
Answer: Factors of 737 are 1, 11, 67, 737. There are 4 integers that are factors of 737. The greatest factor of 737 is 737.
4. How to Find the LCM of 731 and 737?
Answer:
Least Common Multiple of 731 and 737 = 538747
Step 1: Find the prime factorization of 731
731 = 17 x 43
Step 2: Find the prime factorization of 737
737 = 11 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 538747 = 11 x 17 x 43 x 67
Step 4: Therefore, the least common multiple of 731 and 737 is 538747.
