Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2852 and 2853 the smallest integer that is 8136756 that is divisible by both numbers.
Least Common Multiple (LCM) of 2852 and 2853 is 8136756.
LCM(2852,2853) = 8136756
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 2852 and 2853. First we will calculate the prime factors of 2852 and 2853.
Prime Factorization of 2852
2 | 2852 |
2 | 1426 |
23 | 713 |
31 | 31 |
1 |
Prime factors of 2852 are 2, 23,31. Prime factorization of 2852 in exponential form is:
2852 = 22×231×311
Prime Factorization of 2853
3 | 2853 |
3 | 951 |
317 | 317 |
1 |
Prime factors of 2853 are 3,317. Prime factorization of 2853 in exponential form is:
2853 = 32×3171
Now multiplying the highest exponent prime factors to calculate the LCM of 2852 and 2853.
LCM(2852,2853) = 22×32×231×311×3171
LCM(2852,2853) = 8136756
Factors of 2852
List of positive integer factors of 2852 that divides 2852 without a remainder.
1, 2, 4, 23, 31, 46, 62, 92, 124, 713, 1426, 2852
Factors of 2853
List of positive integer factors of 2853 that divides 2853 without a remainder.
1, 3, 9, 317, 951, 2853
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2852 and 2853, than apply into the LCM equation.
GCF(2852,2853) = 1
LCM(2852,2853) = ( 2852 × 2853) / 1
LCM(2852,2853) = 8136756 / 1
LCM(2852,2853) = 8136756
(i) The LCM of 2853 and 2852 is associative
LCM of 2852 and 2853 = LCM of 2853 and 2852
1. What is the LCM of 2852 and 2853?
Answer: LCM of 2852 and 2853 is 8136756.
2. What are the Factors of 2852?
Answer: Factors of 2852 are 1, 2, 4, 23, 31, 46, 62, 92, 124, 713, 1426, 2852. There are 12 integers that are factors of 2852. The greatest factor of 2852 is 2852.
3. What are the Factors of 2853?
Answer: Factors of 2853 are 1, 3, 9, 317, 951, 2853. There are 6 integers that are factors of 2853. The greatest factor of 2853 is 2853.
4. How to Find the LCM of 2852 and 2853?
Answer:
Least Common Multiple of 2852 and 2853 = 8136756
Step 1: Find the prime factorization of 2852
2852 = 2 x 2 x 23 x 31
Step 2: Find the prime factorization of 2853
2853 = 3 x 3 x 317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8136756 = 2 x 2 x 3 x 3 x 23 x 31 x 317
Step 4: Therefore, the least common multiple of 2852 and 2853 is 8136756.