Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2910 and 2913 the smallest integer that is 2825610 that is divisible by both numbers.
Least Common Multiple (LCM) of 2910 and 2913 is 2825610.
LCM(2910,2913) = 2825610
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 2910 and 2913. First we will calculate the prime factors of 2910 and 2913.
Prime Factorization of 2910
2 | 2910 |
3 | 1455 |
5 | 485 |
97 | 97 |
1 |
Prime factors of 2910 are 2, 3, 5,97. Prime factorization of 2910 in exponential form is:
2910 = 21×31×51×971
Prime Factorization of 2913
3 | 2913 |
971 | 971 |
1 |
Prime factors of 2913 are 3,971. Prime factorization of 2913 in exponential form is:
2913 = 31×9711
Now multiplying the highest exponent prime factors to calculate the LCM of 2910 and 2913.
LCM(2910,2913) = 21×31×51×971×9711
LCM(2910,2913) = 2825610
Factors of 2910
List of positive integer factors of 2910 that divides 2910 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 97, 194, 291, 485, 582, 970, 1455, 2910
Factors of 2913
List of positive integer factors of 2913 that divides 2913 without a remainder.
1, 3, 971, 2913
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2910 and 2913, than apply into the LCM equation.
GCF(2910,2913) = 3
LCM(2910,2913) = ( 2910 × 2913) / 3
LCM(2910,2913) = 8476830 / 3
LCM(2910,2913) = 2825610
(i) The LCM of 2913 and 2910 is associative
LCM of 2910 and 2913 = LCM of 2913 and 2910
1. What is the LCM of 2910 and 2913?
Answer: LCM of 2910 and 2913 is 2825610.
2. What are the Factors of 2910?
Answer: Factors of 2910 are 1, 2, 3, 5, 6, 10, 15, 30, 97, 194, 291, 485, 582, 970, 1455, 2910. There are 16 integers that are factors of 2910. The greatest factor of 2910 is 2910.
3. What are the Factors of 2913?
Answer: Factors of 2913 are 1, 3, 971, 2913. There are 4 integers that are factors of 2913. The greatest factor of 2913 is 2913.
4. How to Find the LCM of 2910 and 2913?
Answer:
Least Common Multiple of 2910 and 2913 = 2825610
Step 1: Find the prime factorization of 2910
2910 = 2 x 3 x 5 x 97
Step 2: Find the prime factorization of 2913
2913 = 3 x 971
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2825610 = 2 x 3 x 5 x 97 x 971
Step 4: Therefore, the least common multiple of 2910 and 2913 is 2825610.