Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2823 and 2824 the smallest integer that is 7972152 that is divisible by both numbers.
Least Common Multiple (LCM) of 2823 and 2824 is 7972152.
LCM(2823,2824) = 7972152
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 2823 and 2824. First we will calculate the prime factors of 2823 and 2824.
Prime Factorization of 2823
3 | 2823 |
941 | 941 |
1 |
Prime factors of 2823 are 3,941. Prime factorization of 2823 in exponential form is:
2823 = 31×9411
Prime Factorization of 2824
2 | 2824 |
2 | 1412 |
2 | 706 |
353 | 353 |
1 |
Prime factors of 2824 are 2,353. Prime factorization of 2824 in exponential form is:
2824 = 23×3531
Now multiplying the highest exponent prime factors to calculate the LCM of 2823 and 2824.
LCM(2823,2824) = 23×31×3531×9411
LCM(2823,2824) = 7972152
Factors of 2823
List of positive integer factors of 2823 that divides 2823 without a remainder.
1, 3, 941, 2823
Factors of 2824
List of positive integer factors of 2824 that divides 2824 without a remainder.
1, 2, 4, 8, 353, 706, 1412, 2824
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2823 and 2824, than apply into the LCM equation.
GCF(2823,2824) = 1
LCM(2823,2824) = ( 2823 × 2824) / 1
LCM(2823,2824) = 7972152 / 1
LCM(2823,2824) = 7972152
(i) The LCM of 2824 and 2823 is associative
LCM of 2823 and 2824 = LCM of 2824 and 2823
1. What is the LCM of 2823 and 2824?
Answer: LCM of 2823 and 2824 is 7972152.
2. What are the Factors of 2823?
Answer: Factors of 2823 are 1, 3, 941, 2823. There are 4 integers that are factors of 2823. The greatest factor of 2823 is 2823.
3. What are the Factors of 2824?
Answer: Factors of 2824 are 1, 2, 4, 8, 353, 706, 1412, 2824. There are 8 integers that are factors of 2824. The greatest factor of 2824 is 2824.
4. How to Find the LCM of 2823 and 2824?
Answer:
Least Common Multiple of 2823 and 2824 = 7972152
Step 1: Find the prime factorization of 2823
2823 = 3 x 941
Step 2: Find the prime factorization of 2824
2824 = 2 x 2 x 2 x 353
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7972152 = 2 x 2 x 2 x 3 x 353 x 941
Step 4: Therefore, the least common multiple of 2823 and 2824 is 7972152.