Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2630 and 2638 the smallest integer that is 3468970 that is divisible by both numbers.
Least Common Multiple (LCM) of 2630 and 2638 is 3468970.
LCM(2630,2638) = 3468970
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 2630 and 2638. First we will calculate the prime factors of 2630 and 2638.
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
Prime Factorization of 2638
2 | 2638 |
1319 | 1319 |
1 |
Prime factors of 2638 are 2,1319. Prime factorization of 2638 in exponential form is:
2638 = 21×13191
Now multiplying the highest exponent prime factors to calculate the LCM of 2630 and 2638.
LCM(2630,2638) = 21×51×2631×13191
LCM(2630,2638) = 3468970
Factors of 2630
List of positive integer factors of 2630 that divides 2630 without a remainder.
1, 2, 5, 10, 263, 526, 1315, 2630
Factors of 2638
List of positive integer factors of 2638 that divides 2638 without a remainder.
1, 2, 1319, 2638
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2630 and 2638, than apply into the LCM equation.
GCF(2630,2638) = 2
LCM(2630,2638) = ( 2630 × 2638) / 2
LCM(2630,2638) = 6937940 / 2
LCM(2630,2638) = 3468970
(i) The LCM of 2638 and 2630 is associative
LCM of 2630 and 2638 = LCM of 2638 and 2630
1. What is the LCM of 2630 and 2638?
Answer: LCM of 2630 and 2638 is 3468970.
2. 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.
3. What are the Factors of 2638?
Answer: Factors of 2638 are 1, 2, 1319, 2638. There are 4 integers that are factors of 2638. The greatest factor of 2638 is 2638.
4. How to Find the LCM of 2630 and 2638?
Answer:
Least Common Multiple of 2630 and 2638 = 3468970
Step 1: Find the prime factorization of 2630
2630 = 2 x 5 x 263
Step 2: Find the prime factorization of 2638
2638 = 2 x 1319
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3468970 = 2 x 5 x 263 x 1319
Step 4: Therefore, the least common multiple of 2630 and 2638 is 3468970.