Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2752 and 2757 the smallest integer that is 7587264 that is divisible by both numbers.
Least Common Multiple (LCM) of 2752 and 2757 is 7587264.
LCM(2752,2757) = 7587264
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 2752 and 2757. First we will calculate the prime factors of 2752 and 2757.
Prime Factorization of 2752
2 | 2752 |
2 | 1376 |
2 | 688 |
2 | 344 |
2 | 172 |
2 | 86 |
43 | 43 |
1 |
Prime factors of 2752 are 2,43. Prime factorization of 2752 in exponential form is:
2752 = 26×431
Prime Factorization of 2757
3 | 2757 |
919 | 919 |
1 |
Prime factors of 2757 are 3,919. Prime factorization of 2757 in exponential form is:
2757 = 31×9191
Now multiplying the highest exponent prime factors to calculate the LCM of 2752 and 2757.
LCM(2752,2757) = 26×31×431×9191
LCM(2752,2757) = 7587264
Factors of 2752
List of positive integer factors of 2752 that divides 2752 without a remainder.
1, 2, 4, 8, 16, 32, 43, 64, 86, 172, 344, 688, 1376, 2752
Factors of 2757
List of positive integer factors of 2757 that divides 2757 without a remainder.
1, 3, 919, 2757
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2752 and 2757, than apply into the LCM equation.
GCF(2752,2757) = 1
LCM(2752,2757) = ( 2752 × 2757) / 1
LCM(2752,2757) = 7587264 / 1
LCM(2752,2757) = 7587264
(i) The LCM of 2757 and 2752 is associative
LCM of 2752 and 2757 = LCM of 2757 and 2752
1. What is the LCM of 2752 and 2757?
Answer: LCM of 2752 and 2757 is 7587264.
2. What are the Factors of 2752?
Answer: Factors of 2752 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 172, 344, 688, 1376, 2752. There are 14 integers that are factors of 2752. The greatest factor of 2752 is 2752.
3. What are the Factors of 2757?
Answer: Factors of 2757 are 1, 3, 919, 2757. There are 4 integers that are factors of 2757. The greatest factor of 2757 is 2757.
4. How to Find the LCM of 2752 and 2757?
Answer:
Least Common Multiple of 2752 and 2757 = 7587264
Step 1: Find the prime factorization of 2752
2752 = 2 x 2 x 2 x 2 x 2 x 2 x 43
Step 2: Find the prime factorization of 2757
2757 = 3 x 919
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7587264 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 43 x 919
Step 4: Therefore, the least common multiple of 2752 and 2757 is 7587264.