Least Common Multiple of 737 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 737 and 745 the smallest integer that is 549065 that is divisible by both numbers.
Least Common Multiple (LCM) of 737 and 745 is 549065.
LCM(737,745) = 549065
LCM of 737 and 745
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 737 and 745 by Prime method
- Least Common Multiple of 737 and 745 with GCF Formula
LCM of 737 and 745 is 549065
Least common multiple can be found by multiplying the highest exponent prime factors of 737 and 745. First we will calculate the prime factors of 737 and 745.
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 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 737 and 745.
LCM(737,745) = 51×111×671×1491
LCM(737,745) = 549065
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Least Common Multiple of 737 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 737 and 745, than apply into the LCM equation.
GCF(737,745) = 1
LCM(737,745) = ( 737 × 745) / 1
LCM(737,745) = 549065 / 1
LCM(737,745) = 549065
Properties of LCM 737 and 745
(i) The LCM of 745 and 737 is associative
LCM of 737 and 745 = LCM of 745 and 737
Related Least Common Multiples of 737
Related Least Common Multiples of 745
Frequently Asked Questions on LCM of 737 and 745
1. What is the LCM of 737 and 745?
Answer: LCM of 737 and 745 is 549065.
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 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 737 and 745?
Answer:
Least Common Multiple of 737 and 745 = 549065
Step 1: Find the prime factorization of 737
737 = 11 x 67
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 = 549065 = 5 x 11 x 67 x 149
Step 4: Therefore, the least common multiple of 737 and 745 is 549065.
