Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2623 and 2630 the smallest integer that is 6898490 that is divisible by both numbers.
Least Common Multiple (LCM) of 2623 and 2630 is 6898490.
LCM(2623,2630) = 6898490
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 2623 and 2630. First we will calculate the prime factors of 2623 and 2630.
Prime Factorization of 2623
43 | 2623 |
61 | 61 |
1 |
Prime factors of 2623 are 43,61. Prime factorization of 2623 in exponential form is:
2623 = 431×611
Prime Factorization of 2630
2 | 2630 |
5 | 1315 |
263 | 263 |
1 |
Prime factors of 2630 are 2, 5,263. Prime factorization of 2630 in exponential form is:
2630 = 21×51×2631
Now multiplying the highest exponent prime factors to calculate the LCM of 2623 and 2630.
LCM(2623,2630) = 21×51×431×611×2631
LCM(2623,2630) = 6898490
Factors of 2623
List of positive integer factors of 2623 that divides 2623 without a remainder.
1, 43, 61, 2623
Factors of 2630
List of positive integer factors of 2630 that divides 2630 without a remainder.
1, 2, 5, 10, 263, 526, 1315, 2630
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2623 and 2630, than apply into the LCM equation.
GCF(2623,2630) = 1
LCM(2623,2630) = ( 2623 × 2630) / 1
LCM(2623,2630) = 6898490 / 1
LCM(2623,2630) = 6898490
(i) The LCM of 2630 and 2623 is associative
LCM of 2623 and 2630 = LCM of 2630 and 2623
1. What is the LCM of 2623 and 2630?
Answer: LCM of 2623 and 2630 is 6898490.
2. What are the Factors of 2623?
Answer: Factors of 2623 are 1, 43, 61, 2623. There are 4 integers that are factors of 2623. The greatest factor of 2623 is 2623.
3. What are the Factors of 2630?
Answer: Factors of 2630 are 1, 2, 5, 10, 263, 526, 1315, 2630. There are 8 integers that are factors of 2630. The greatest factor of 2630 is 2630.
4. How to Find the LCM of 2623 and 2630?
Answer:
Least Common Multiple of 2623 and 2630 = 6898490
Step 1: Find the prime factorization of 2623
2623 = 43 x 61
Step 2: Find the prime factorization of 2630
2630 = 2 x 5 x 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6898490 = 2 x 5 x 43 x 61 x 263
Step 4: Therefore, the least common multiple of 2623 and 2630 is 6898490.