Least Common Multiple of 749 and 755
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 755 the smallest integer that is 565495 that is divisible by both numbers.
Least Common Multiple (LCM) of 749 and 755 is 565495.
LCM(749,755) = 565495
LCM of 749 and 755
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 749 and 755 by Prime method
- Least Common Multiple of 749 and 755 with GCF Formula
LCM of 749 and 755 is 565495
Least common multiple can be found by multiplying the highest exponent prime factors of 749 and 755. First we will calculate the prime factors of 749 and 755.
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 755
| 5 | 755 |
| 151 | 151 |
| 1 |
Prime factors of 755 are 5,151. Prime factorization of 755 in exponential form is:
755 = 51×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 749 and 755.
LCM(749,755) = 51×71×1071×1511
LCM(749,755) = 565495
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Factors of 755
List of positive integer factors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Least Common Multiple of 749 and 755 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 755, than apply into the LCM equation.
GCF(749,755) = 1
LCM(749,755) = ( 749 × 755) / 1
LCM(749,755) = 565495 / 1
LCM(749,755) = 565495
Properties of LCM 749 and 755
(i) The LCM of 755 and 749 is associative
LCM of 749 and 755 = LCM of 755 and 749
Related Least Common Multiples of 749
Related Least Common Multiples of 755
Frequently Asked Questions on LCM of 749 and 755
1. What is the LCM of 749 and 755?
Answer: LCM of 749 and 755 is 565495.
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 755?
Answer: Factors of 755 are 1, 5, 151, 755. There are 4 integers that are factors of 755. The greatest factor of 755 is 755.
4. How to Find the LCM of 749 and 755?
Answer:
Least Common Multiple of 749 and 755 = 565495
Step 1: Find the prime factorization of 749
749 = 7 x 107
Step 2: Find the prime factorization of 755
755 = 5 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 565495 = 5 x 7 x 107 x 151
Step 4: Therefore, the least common multiple of 749 and 755 is 565495.