Least Common Multiple of 2739 and 2743
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2739 and 2743 the smallest integer that is 7513077 that is divisible by both numbers.
Least Common Multiple (LCM) of 2739 and 2743 is 7513077.
LCM(2739,2743) = 7513077
LCM of 2739 and 2743
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2739 and 2743 by Prime method
- Least Common Multiple of 2739 and 2743 with GCF Formula
LCM of 2739 and 2743 is 7513077
Least common multiple can be found by multiplying the highest exponent prime factors of 2739 and 2743. First we will calculate the prime factors of 2739 and 2743.
Prime Factorization of 2739
| 3 | 2739 |
| 11 | 913 |
| 83 | 83 |
| 1 |
Prime factors of 2739 are 3, 11,83. Prime factorization of 2739 in exponential form is:
2739 = 31×111×831
Prime Factorization of 2743
| 13 | 2743 |
| 211 | 211 |
| 1 |
Prime factors of 2743 are 13,211. Prime factorization of 2743 in exponential form is:
2743 = 131×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 2739 and 2743.
LCM(2739,2743) = 31×111×131×831×2111
LCM(2739,2743) = 7513077
Factors of 2739
List of positive integer factors of 2739 that divides 2739 without a remainder.
1, 3, 11, 33, 83, 249, 913, 2739
Factors of 2743
List of positive integer factors of 2743 that divides 2743 without a remainder.
1, 13, 211, 2743
Least Common Multiple of 2739 and 2743 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2739 and 2743, than apply into the LCM equation.
GCF(2739,2743) = 1
LCM(2739,2743) = ( 2739 × 2743) / 1
LCM(2739,2743) = 7513077 / 1
LCM(2739,2743) = 7513077
Properties of LCM 2739 and 2743
(i) The LCM of 2743 and 2739 is associative
LCM of 2739 and 2743 = LCM of 2743 and 2739
Related Least Common Multiples of 2739
Related Least Common Multiples of 2743
Frequently Asked Questions on LCM of 2739 and 2743
1. What is the LCM of 2739 and 2743?
Answer: LCM of 2739 and 2743 is 7513077.
2. What are the Factors of 2739?
Answer: Factors of 2739 are 1, 3, 11, 33, 83, 249, 913, 2739. There are 8 integers that are factors of 2739. The greatest factor of 2739 is 2739.
3. What are the Factors of 2743?
Answer: Factors of 2743 are 1, 13, 211, 2743. There are 4 integers that are factors of 2743. The greatest factor of 2743 is 2743.
4. How to Find the LCM of 2739 and 2743?
Answer:
Least Common Multiple of 2739 and 2743 = 7513077
Step 1: Find the prime factorization of 2739
2739 = 3 x 11 x 83
Step 2: Find the prime factorization of 2743
2743 = 13 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7513077 = 3 x 11 x 13 x 83 x 211
Step 4: Therefore, the least common multiple of 2739 and 2743 is 7513077.