Least Common Multiple of 735 and 743
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 735 and 743 the smallest integer that is 546105 that is divisible by both numbers.
Least Common Multiple (LCM) of 735 and 743 is 546105.
LCM(735,743) = 546105
LCM of 735 and 743
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 735 and 743 by Prime method
- Least Common Multiple of 735 and 743 with GCF Formula
LCM of 735 and 743 is 546105
Least common multiple can be found by multiplying the highest exponent prime factors of 735 and 743. First we will calculate the prime factors of 735 and 743.
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
Prime Factorization of 743
| 743 | 743 |
| 1 |
Prime factors of 743 are 743. Prime factorization of 743 in exponential form is:
743 = 7431
Now multiplying the highest exponent prime factors to calculate the LCM of 735 and 743.
LCM(735,743) = 31×51×72×7431
LCM(735,743) = 546105
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
Factors of 743
List of positive integer factors of 743 that divides 743 without a remainder.
1, 743
Least Common Multiple of 735 and 743 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 735 and 743, than apply into the LCM equation.
GCF(735,743) = 1
LCM(735,743) = ( 735 × 743) / 1
LCM(735,743) = 546105 / 1
LCM(735,743) = 546105
Properties of LCM 735 and 743
(i) The LCM of 743 and 735 is associative
LCM of 735 and 743 = LCM of 743 and 735
Related Least Common Multiples of 735
Related Least Common Multiples of 743
Frequently Asked Questions on LCM of 735 and 743
1. What is the LCM of 735 and 743?
Answer: LCM of 735 and 743 is 546105.
2. 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.
3. What are the Factors of 743?
Answer: Factors of 743 are 1, 743. There are 2 integers that are factors of 743. The greatest factor of 743 is 743.
4. How to Find the LCM of 735 and 743?
Answer:
Least Common Multiple of 735 and 743 = 546105
Step 1: Find the prime factorization of 735
735 = 3 x 5 x 7 x 7
Step 2: Find the prime factorization of 743
743 = 743
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 546105 = 3 x 5 x 7 x 7 x 743
Step 4: Therefore, the least common multiple of 735 and 743 is 546105.