Least Common Multiple of 739 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 739 and 741 the smallest integer that is 547599 that is divisible by both numbers.
Least Common Multiple (LCM) of 739 and 741 is 547599.
LCM(739,741) = 547599
LCM of 739 and 741
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 739 and 741 by Prime method
- Least Common Multiple of 739 and 741 with GCF Formula
LCM of 739 and 741 is 547599
Least common multiple can be found by multiplying the highest exponent prime factors of 739 and 741. First we will calculate the prime factors of 739 and 741.
Prime Factorization of 739
| 739 | 739 |
| 1 |
Prime factors of 739 are 739. Prime factorization of 739 in exponential form is:
739 = 7391
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 739 and 741.
LCM(739,741) = 31×131×191×7391
LCM(739,741) = 547599
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1, 739
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 739 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 739 and 741, than apply into the LCM equation.
GCF(739,741) = 1
LCM(739,741) = ( 739 × 741) / 1
LCM(739,741) = 547599 / 1
LCM(739,741) = 547599
Properties of LCM 739 and 741
(i) The LCM of 741 and 739 is associative
LCM of 739 and 741 = LCM of 741 and 739
Related Least Common Multiples of 739
Related Least Common Multiples of 741
Frequently Asked Questions on LCM of 739 and 741
1. What is the LCM of 739 and 741?
Answer: LCM of 739 and 741 is 547599.
2. What are the Factors of 739?
Answer: Factors of 739 are 1, 739. There are 2 integers that are factors of 739. The greatest factor of 739 is 739.
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 739 and 741?
Answer:
Least Common Multiple of 739 and 741 = 547599
Step 1: Find the prime factorization of 739
739 = 739
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 = 547599 = 3 x 13 x 19 x 739
Step 4: Therefore, the least common multiple of 739 and 741 is 547599.
