Least Common Multiple of 745 and 749
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 745 and 749 the smallest integer that is 558005 that is divisible by both numbers.
Least Common Multiple (LCM) of 745 and 749 is 558005.
LCM(745,749) = 558005
LCM of 745 and 749
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 745 and 749 by Prime method
- Least Common Multiple of 745 and 749 with GCF Formula
LCM of 745 and 749 is 558005
Least common multiple can be found by multiplying the highest exponent prime factors of 745 and 749. First we will calculate the prime factors of 745 and 749.
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
Prime Factorization of 749
| 7 | 749 |
| 107 | 107 |
| 1 |
Prime factors of 749 are 7,107. Prime factorization of 749 in exponential form is:
749 = 71×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 745 and 749.
LCM(745,749) = 51×71×1071×1491
LCM(745,749) = 558005
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Least Common Multiple of 745 and 749 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 745 and 749, than apply into the LCM equation.
GCF(745,749) = 1
LCM(745,749) = ( 745 × 749) / 1
LCM(745,749) = 558005 / 1
LCM(745,749) = 558005
Properties of LCM 745 and 749
(i) The LCM of 749 and 745 is associative
LCM of 745 and 749 = LCM of 749 and 745
Related Least Common Multiples of 745
Related Least Common Multiples of 749
Frequently Asked Questions on LCM of 745 and 749
1. What is the LCM of 745 and 749?
Answer: LCM of 745 and 749 is 558005.
2. 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.
3. What are the Factors of 749?
Answer: Factors of 749 are 1, 7, 107, 749. There are 4 integers that are factors of 749. The greatest factor of 749 is 749.
4. How to Find the LCM of 745 and 749?
Answer:
Least Common Multiple of 745 and 749 = 558005
Step 1: Find the prime factorization of 745
745 = 5 x 149
Step 2: Find the prime factorization of 749
749 = 7 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 558005 = 5 x 7 x 107 x 149
Step 4: Therefore, the least common multiple of 745 and 749 is 558005.