Least Common Multiple of 731 and 735
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 735 the smallest integer that is 537285 that is divisible by both numbers.
Least Common Multiple (LCM) of 731 and 735 is 537285.
LCM(731,735) = 537285
LCM of 731 and 735
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 731 and 735 by Prime method
- Least Common Multiple of 731 and 735 with GCF Formula
LCM of 731 and 735 is 537285
Least common multiple can be found by multiplying the highest exponent prime factors of 731 and 735. First we will calculate the prime factors of 731 and 735.
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 735
| 3 | 735 |
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 735 are 3, 5,7. Prime factorization of 735 in exponential form is:
735 = 31×51×72
Now multiplying the highest exponent prime factors to calculate the LCM of 731 and 735.
LCM(731,735) = 31×51×72×171×431
LCM(731,735) = 537285
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Least Common Multiple of 731 and 735 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 735, than apply into the LCM equation.
GCF(731,735) = 1
LCM(731,735) = ( 731 × 735) / 1
LCM(731,735) = 537285 / 1
LCM(731,735) = 537285
Properties of LCM 731 and 735
(i) The LCM of 735 and 731 is associative
LCM of 731 and 735 = LCM of 735 and 731
Related Least Common Multiples of 731
Related Least Common Multiples of 735
Frequently Asked Questions on LCM of 731 and 735
1. What is the LCM of 731 and 735?
Answer: LCM of 731 and 735 is 537285.
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 735?
Answer: Factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735. There are 12 integers that are factors of 735. The greatest factor of 735 is 735.
4. How to Find the LCM of 731 and 735?
Answer:
Least Common Multiple of 731 and 735 = 537285
Step 1: Find the prime factorization of 731
731 = 17 x 43
Step 2: Find the prime factorization of 735
735 = 3 x 5 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 537285 = 3 x 5 x 7 x 7 x 17 x 43
Step 4: Therefore, the least common multiple of 731 and 735 is 537285.