Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2743 and 2746 the smallest integer that is 7532278 that is divisible by both numbers.
Least Common Multiple (LCM) of 2743 and 2746 is 7532278.
LCM(2743,2746) = 7532278
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2743 and 2746. First we will calculate the prime factors of 2743 and 2746.
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
Prime Factorization of 2746
2 | 2746 |
1373 | 1373 |
1 |
Prime factors of 2746 are 2,1373. Prime factorization of 2746 in exponential form is:
2746 = 21×13731
Now multiplying the highest exponent prime factors to calculate the LCM of 2743 and 2746.
LCM(2743,2746) = 21×131×2111×13731
LCM(2743,2746) = 7532278
Factors of 2743
List of positive integer factors of 2743 that divides 2743 without a remainder.
1, 13, 211, 2743
Factors of 2746
List of positive integer factors of 2746 that divides 2746 without a remainder.
1, 2, 1373, 2746
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2743 and 2746, than apply into the LCM equation.
GCF(2743,2746) = 1
LCM(2743,2746) = ( 2743 × 2746) / 1
LCM(2743,2746) = 7532278 / 1
LCM(2743,2746) = 7532278
(i) The LCM of 2746 and 2743 is associative
LCM of 2743 and 2746 = LCM of 2746 and 2743
1. What is the LCM of 2743 and 2746?
Answer: LCM of 2743 and 2746 is 7532278.
2. 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.
3. What are the Factors of 2746?
Answer: Factors of 2746 are 1, 2, 1373, 2746. There are 4 integers that are factors of 2746. The greatest factor of 2746 is 2746.
4. How to Find the LCM of 2743 and 2746?
Answer:
Least Common Multiple of 2743 and 2746 = 7532278
Step 1: Find the prime factorization of 2743
2743 = 13 x 211
Step 2: Find the prime factorization of 2746
2746 = 2 x 1373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7532278 = 2 x 13 x 211 x 1373
Step 4: Therefore, the least common multiple of 2743 and 2746 is 7532278.