Least Common Multiple of 733 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 733 and 741 the smallest integer that is 543153 that is divisible by both numbers.
Least Common Multiple (LCM) of 733 and 741 is 543153.
LCM(733,741) = 543153
LCM of 733 and 741
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 733 and 741 by Prime method
- Least Common Multiple of 733 and 741 with GCF Formula
LCM of 733 and 741 is 543153
Least common multiple can be found by multiplying the highest exponent prime factors of 733 and 741. First we will calculate the prime factors of 733 and 741.
Prime Factorization of 733
| 733 | 733 |
| 1 |
Prime factors of 733 are 733. Prime factorization of 733 in exponential form is:
733 = 7331
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 733 and 741.
LCM(733,741) = 31×131×191×7331
LCM(733,741) = 543153
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1, 733
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 733 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 733 and 741, than apply into the LCM equation.
GCF(733,741) = 1
LCM(733,741) = ( 733 × 741) / 1
LCM(733,741) = 543153 / 1
LCM(733,741) = 543153
Properties of LCM 733 and 741
(i) The LCM of 741 and 733 is associative
LCM of 733 and 741 = LCM of 741 and 733
Related Least Common Multiples of 733
Related Least Common Multiples of 741
Frequently Asked Questions on LCM of 733 and 741
1. What is the LCM of 733 and 741?
Answer: LCM of 733 and 741 is 543153.
2. What are the Factors of 733?
Answer: Factors of 733 are 1, 733. There are 2 integers that are factors of 733. The greatest factor of 733 is 733.
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 733 and 741?
Answer:
Least Common Multiple of 733 and 741 = 543153
Step 1: Find the prime factorization of 733
733 = 733
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 = 543153 = 3 x 13 x 19 x 733
Step 4: Therefore, the least common multiple of 733 and 741 is 543153.
