Least Common Multiple of 735 and 741
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 741 the smallest integer that is 181545 that is divisible by both numbers.
Least Common Multiple (LCM) of 735 and 741 is 181545.
LCM(735,741) = 181545
LCM of 735 and 741
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 735 and 741 by Prime method
- Least Common Multiple of 735 and 741 with GCF Formula
LCM of 735 and 741 is 181545
Least common multiple can be found by multiplying the highest exponent prime factors of 735 and 741. First we will calculate the prime factors of 735 and 741.
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 741
| 3 | 741 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 741 are 3, 13,19. Prime factorization of 741 in exponential form is:
741 = 31×131×191
Now multiplying the highest exponent prime factors to calculate the LCM of 735 and 741.
LCM(735,741) = 31×51×72×131×191
LCM(735,741) = 181545
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 741
List of positive integer factors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Least Common Multiple of 735 and 741 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 741, than apply into the LCM equation.
GCF(735,741) = 3
LCM(735,741) = ( 735 × 741) / 3
LCM(735,741) = 544635 / 3
LCM(735,741) = 181545
Properties of LCM 735 and 741
(i) The LCM of 741 and 735 is associative
LCM of 735 and 741 = LCM of 741 and 735
Related Least Common Multiples of 735
Related Least Common Multiples of 741
Frequently Asked Questions on LCM of 735 and 741
1. What is the LCM of 735 and 741?
Answer: LCM of 735 and 741 is 181545.
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 741?
Answer: Factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741. There are 8 integers that are factors of 741. The greatest factor of 741 is 741.
4. How to Find the LCM of 735 and 741?
Answer:
Least Common Multiple of 735 and 741 = 181545
Step 1: Find the prime factorization of 735
735 = 3 x 5 x 7 x 7
Step 2: Find the prime factorization of 741
741 = 3 x 13 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 181545 = 3 x 5 x 7 x 7 x 13 x 19
Step 4: Therefore, the least common multiple of 735 and 741 is 181545.