Least Common Multiple of 2755 and 2759
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2755 and 2759 the smallest integer that is 7601045 that is divisible by both numbers.
Least Common Multiple (LCM) of 2755 and 2759 is 7601045.
LCM(2755,2759) = 7601045
LCM of 2755 and 2759
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2755 and 2759 by Prime method
- Least Common Multiple of 2755 and 2759 with GCF Formula
LCM of 2755 and 2759 is 7601045
Least common multiple can be found by multiplying the highest exponent prime factors of 2755 and 2759. First we will calculate the prime factors of 2755 and 2759.
Prime Factorization of 2755
| 5 | 2755 |
| 19 | 551 |
| 29 | 29 |
| 1 |
Prime factors of 2755 are 5, 19,29. Prime factorization of 2755 in exponential form is:
2755 = 51×191×291
Prime Factorization of 2759
| 31 | 2759 |
| 89 | 89 |
| 1 |
Prime factors of 2759 are 31,89. Prime factorization of 2759 in exponential form is:
2759 = 311×891
Now multiplying the highest exponent prime factors to calculate the LCM of 2755 and 2759.
LCM(2755,2759) = 51×191×291×311×891
LCM(2755,2759) = 7601045
Factors of 2755
List of positive integer factors of 2755 that divides 2755 without a remainder.
1, 5, 19, 29, 95, 145, 551, 2755
Factors of 2759
List of positive integer factors of 2759 that divides 2759 without a remainder.
1, 31, 89, 2759
Least Common Multiple of 2755 and 2759 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2755 and 2759, than apply into the LCM equation.
GCF(2755,2759) = 1
LCM(2755,2759) = ( 2755 × 2759) / 1
LCM(2755,2759) = 7601045 / 1
LCM(2755,2759) = 7601045
Properties of LCM 2755 and 2759
(i) The LCM of 2759 and 2755 is associative
LCM of 2755 and 2759 = LCM of 2759 and 2755
Related Least Common Multiples of 2755
Related Least Common Multiples of 2759
Frequently Asked Questions on LCM of 2755 and 2759
1. What is the LCM of 2755 and 2759?
Answer: LCM of 2755 and 2759 is 7601045.
2. What are the Factors of 2755?
Answer: Factors of 2755 are 1, 5, 19, 29, 95, 145, 551, 2755. There are 8 integers that are factors of 2755. The greatest factor of 2755 is 2755.
3. What are the Factors of 2759?
Answer: Factors of 2759 are 1, 31, 89, 2759. There are 4 integers that are factors of 2759. The greatest factor of 2759 is 2759.
4. How to Find the LCM of 2755 and 2759?
Answer:
Least Common Multiple of 2755 and 2759 = 7601045
Step 1: Find the prime factorization of 2755
2755 = 5 x 19 x 29
Step 2: Find the prime factorization of 2759
2759 = 31 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7601045 = 5 x 19 x 29 x 31 x 89
Step 4: Therefore, the least common multiple of 2755 and 2759 is 7601045.