Least Common Multiple of 749 and 754
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 749 and 754 the smallest integer that is 564746 that is divisible by both numbers.
Least Common Multiple (LCM) of 749 and 754 is 564746.
LCM(749,754) = 564746
LCM of 749 and 754
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 749 and 754 by Prime method
- Least Common Multiple of 749 and 754 with GCF Formula
LCM of 749 and 754 is 564746
Least common multiple can be found by multiplying the highest exponent prime factors of 749 and 754. First we will calculate the prime factors of 749 and 754.
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
Prime Factorization of 754
| 2 | 754 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 754 are 2, 13,29. Prime factorization of 754 in exponential form is:
754 = 21×131×291
Now multiplying the highest exponent prime factors to calculate the LCM of 749 and 754.
LCM(749,754) = 21×71×131×291×1071
LCM(749,754) = 564746
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Least Common Multiple of 749 and 754 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 749 and 754, than apply into the LCM equation.
GCF(749,754) = 1
LCM(749,754) = ( 749 × 754) / 1
LCM(749,754) = 564746 / 1
LCM(749,754) = 564746
Properties of LCM 749 and 754
(i) The LCM of 754 and 749 is associative
LCM of 749 and 754 = LCM of 754 and 749
Related Least Common Multiples of 749
Related Least Common Multiples of 754
Frequently Asked Questions on LCM of 749 and 754
1. What is the LCM of 749 and 754?
Answer: LCM of 749 and 754 is 564746.
2. 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.
3. What are the Factors of 754?
Answer: Factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754. There are 8 integers that are factors of 754. The greatest factor of 754 is 754.
4. How to Find the LCM of 749 and 754?
Answer:
Least Common Multiple of 749 and 754 = 564746
Step 1: Find the prime factorization of 749
749 = 7 x 107
Step 2: Find the prime factorization of 754
754 = 2 x 13 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 564746 = 2 x 7 x 13 x 29 x 107
Step 4: Therefore, the least common multiple of 749 and 754 is 564746.