Least Common Multiple of 737 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 737 and 741 the smallest integer that is 546117 that is divisible by both numbers.
Least Common Multiple (LCM) of 737 and 741 is 546117.
LCM(737,741) = 546117
LCM of 737 and 741
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 737 and 741 by Prime method
- Least Common Multiple of 737 and 741 with GCF Formula
LCM of 737 and 741 is 546117
Least common multiple can be found by multiplying the highest exponent prime factors of 737 and 741. First we will calculate the prime factors of 737 and 741.
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
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 737 and 741.
LCM(737,741) = 31×111×131×191×671
LCM(737,741) = 546117
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1, 11, 67, 737
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 737 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 737 and 741, than apply into the LCM equation.
GCF(737,741) = 1
LCM(737,741) = ( 737 × 741) / 1
LCM(737,741) = 546117 / 1
LCM(737,741) = 546117
Properties of LCM 737 and 741
(i) The LCM of 741 and 737 is associative
LCM of 737 and 741 = LCM of 741 and 737
Related Least Common Multiples of 737
Related Least Common Multiples of 741
Frequently Asked Questions on LCM of 737 and 741
1. What is the LCM of 737 and 741?
Answer: LCM of 737 and 741 is 546117.
2. 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.
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 737 and 741?
Answer:
Least Common Multiple of 737 and 741 = 546117
Step 1: Find the prime factorization of 737
737 = 11 x 67
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 = 546117 = 3 x 11 x 13 x 19 x 67
Step 4: Therefore, the least common multiple of 737 and 741 is 546117.
