Least Common Multiple of 741 and 745
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 741 and 745 the smallest integer that is 552045 that is divisible by both numbers.
Least Common Multiple (LCM) of 741 and 745 is 552045.
LCM(741,745) = 552045
LCM of 741 and 745
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 741 and 745 by Prime method
- Least Common Multiple of 741 and 745 with GCF Formula
LCM of 741 and 745 is 552045
Least common multiple can be found by multiplying the highest exponent prime factors of 741 and 745. First we will calculate the prime factors of 741 and 745.
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
Prime Factorization of 745
| 5 | 745 |
| 149 | 149 |
| 1 |
Prime factors of 745 are 5,149. Prime factorization of 745 in exponential form is:
745 = 51×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 741 and 745.
LCM(741,745) = 31×51×131×191×1491
LCM(741,745) = 552045
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Least Common Multiple of 741 and 745 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 741 and 745, than apply into the LCM equation.
GCF(741,745) = 1
LCM(741,745) = ( 741 × 745) / 1
LCM(741,745) = 552045 / 1
LCM(741,745) = 552045
Properties of LCM 741 and 745
(i) The LCM of 745 and 741 is associative
LCM of 741 and 745 = LCM of 745 and 741
Related Least Common Multiples of 741
Related Least Common Multiples of 745
Frequently Asked Questions on LCM of 741 and 745
1. What is the LCM of 741 and 745?
Answer: LCM of 741 and 745 is 552045.
2. 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.
3. What are the Factors of 745?
Answer: Factors of 745 are 1, 5, 149, 745. There are 4 integers that are factors of 745. The greatest factor of 745 is 745.
4. How to Find the LCM of 741 and 745?
Answer:
Least Common Multiple of 741 and 745 = 552045
Step 1: Find the prime factorization of 741
741 = 3 x 13 x 19
Step 2: Find the prime factorization of 745
745 = 5 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 552045 = 3 x 5 x 13 x 19 x 149
Step 4: Therefore, the least common multiple of 741 and 745 is 552045.