Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2747 and 2749 the smallest integer that is 7551503 that is divisible by both numbers.
Least Common Multiple (LCM) of 2747 and 2749 is 7551503.
LCM(2747,2749) = 7551503
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 2747 and 2749. First we will calculate the prime factors of 2747 and 2749.
Prime Factorization of 2747
41 | 2747 |
67 | 67 |
1 |
Prime factors of 2747 are 41,67. Prime factorization of 2747 in exponential form is:
2747 = 411×671
Prime Factorization of 2749
2749 | 2749 |
1 |
Prime factors of 2749 are 2749. Prime factorization of 2749 in exponential form is:
2749 = 27491
Now multiplying the highest exponent prime factors to calculate the LCM of 2747 and 2749.
LCM(2747,2749) = 411×671×27491
LCM(2747,2749) = 7551503
Factors of 2747
List of positive integer factors of 2747 that divides 2747 without a remainder.
1, 41, 67, 2747
Factors of 2749
List of positive integer factors of 2749 that divides 2749 without a remainder.
1, 2749
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2747 and 2749, than apply into the LCM equation.
GCF(2747,2749) = 1
LCM(2747,2749) = ( 2747 × 2749) / 1
LCM(2747,2749) = 7551503 / 1
LCM(2747,2749) = 7551503
(i) The LCM of 2749 and 2747 is associative
LCM of 2747 and 2749 = LCM of 2749 and 2747
1. What is the LCM of 2747 and 2749?
Answer: LCM of 2747 and 2749 is 7551503.
2. What are the Factors of 2747?
Answer: Factors of 2747 are 1, 41, 67, 2747. There are 4 integers that are factors of 2747. The greatest factor of 2747 is 2747.
3. What are the Factors of 2749?
Answer: Factors of 2749 are 1, 2749. There are 2 integers that are factors of 2749. The greatest factor of 2749 is 2749.
4. How to Find the LCM of 2747 and 2749?
Answer:
Least Common Multiple of 2747 and 2749 = 7551503
Step 1: Find the prime factorization of 2747
2747 = 41 x 67
Step 2: Find the prime factorization of 2749
2749 = 2749
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7551503 = 41 x 67 x 2749
Step 4: Therefore, the least common multiple of 2747 and 2749 is 7551503.