Least Common Multiple of 746 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 746 and 749 the smallest integer that is 558754 that is divisible by both numbers.
Least Common Multiple (LCM) of 746 and 749 is 558754.
LCM(746,749) = 558754
LCM of 746 and 749
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 746 and 749 by Prime method
- Least Common Multiple of 746 and 749 with GCF Formula
LCM of 746 and 749 is 558754
Least common multiple can be found by multiplying the highest exponent prime factors of 746 and 749. First we will calculate the prime factors of 746 and 749.
Prime Factorization of 746
| 2 | 746 |
| 373 | 373 |
| 1 |
Prime factors of 746 are 2,373. Prime factorization of 746 in exponential form is:
746 = 21×3731
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 746 and 749.
LCM(746,749) = 21×71×1071×3731
LCM(746,749) = 558754
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Least Common Multiple of 746 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 746 and 749, than apply into the LCM equation.
GCF(746,749) = 1
LCM(746,749) = ( 746 × 749) / 1
LCM(746,749) = 558754 / 1
LCM(746,749) = 558754
Properties of LCM 746 and 749
(i) The LCM of 749 and 746 is associative
LCM of 746 and 749 = LCM of 749 and 746
Related Least Common Multiples of 746
Related Least Common Multiples of 749
Frequently Asked Questions on LCM of 746 and 749
1. What is the LCM of 746 and 749?
Answer: LCM of 746 and 749 is 558754.
2. What are the Factors of 746?
Answer: Factors of 746 are 1, 2, 373, 746. There are 4 integers that are factors of 746. The greatest factor of 746 is 746.
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 746 and 749?
Answer:
Least Common Multiple of 746 and 749 = 558754
Step 1: Find the prime factorization of 746
746 = 2 x 373
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 = 558754 = 2 x 7 x 107 x 373
Step 4: Therefore, the least common multiple of 746 and 749 is 558754.
