Least Common Multiple of 2733 and 2738
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2733 and 2738 the smallest integer that is 7482954 that is divisible by both numbers.
Least Common Multiple (LCM) of 2733 and 2738 is 7482954.
LCM(2733,2738) = 7482954
LCM of 2733 and 2738
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2733 and 2738 by Prime method
- Least Common Multiple of 2733 and 2738 with GCF Formula
LCM of 2733 and 2738 is 7482954
Least common multiple can be found by multiplying the highest exponent prime factors of 2733 and 2738. First we will calculate the prime factors of 2733 and 2738.
Prime Factorization of 2733
| 3 | 2733 |
| 911 | 911 |
| 1 |
Prime factors of 2733 are 3,911. Prime factorization of 2733 in exponential form is:
2733 = 31×9111
Prime Factorization of 2738
| 2 | 2738 |
| 37 | 1369 |
| 37 | 37 |
| 1 |
Prime factors of 2738 are 2,37. Prime factorization of 2738 in exponential form is:
2738 = 21×372
Now multiplying the highest exponent prime factors to calculate the LCM of 2733 and 2738.
LCM(2733,2738) = 21×31×372×9111
LCM(2733,2738) = 7482954
Factors of 2733
List of positive integer factors of 2733 that divides 2733 without a remainder.
1, 3, 911, 2733
Factors of 2738
List of positive integer factors of 2738 that divides 2738 without a remainder.
1, 2, 37, 74, 1369, 2738
Least Common Multiple of 2733 and 2738 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2733 and 2738, than apply into the LCM equation.
GCF(2733,2738) = 1
LCM(2733,2738) = ( 2733 × 2738) / 1
LCM(2733,2738) = 7482954 / 1
LCM(2733,2738) = 7482954
Properties of LCM 2733 and 2738
(i) The LCM of 2738 and 2733 is associative
LCM of 2733 and 2738 = LCM of 2738 and 2733
Related Least Common Multiples of 2733
Related Least Common Multiples of 2738
Frequently Asked Questions on LCM of 2733 and 2738
1. What is the LCM of 2733 and 2738?
Answer: LCM of 2733 and 2738 is 7482954.
2. What are the Factors of 2733?
Answer: Factors of 2733 are 1, 3, 911, 2733. There are 4 integers that are factors of 2733. The greatest factor of 2733 is 2733.
3. What are the Factors of 2738?
Answer: Factors of 2738 are 1, 2, 37, 74, 1369, 2738. There are 6 integers that are factors of 2738. The greatest factor of 2738 is 2738.
4. How to Find the LCM of 2733 and 2738?
Answer:
Least Common Multiple of 2733 and 2738 = 7482954
Step 1: Find the prime factorization of 2733
2733 = 3 x 911
Step 2: Find the prime factorization of 2738
2738 = 2 x 37 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7482954 = 2 x 3 x 37 x 37 x 911
Step 4: Therefore, the least common multiple of 2733 and 2738 is 7482954.