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 2635 the smallest integer that is 1386010 that is divisible by both numbers.
Least Common Multiple (LCM) of 2630 and 2635 is 1386010.
LCM(2630,2635) = 1386010
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 2635. First we will calculate the prime factors of 2630 and 2635.
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 2635
5 | 2635 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 2635 are 5, 17,31. Prime factorization of 2635 in exponential form is:
2635 = 51×171×311
Now multiplying the highest exponent prime factors to calculate the LCM of 2630 and 2635.
LCM(2630,2635) = 21×51×171×311×2631
LCM(2630,2635) = 1386010
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 2635
List of positive integer factors of 2635 that divides 2635 without a remainder.
1, 5, 17, 31, 85, 155, 527, 2635
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2630 and 2635, than apply into the LCM equation.
GCF(2630,2635) = 5
LCM(2630,2635) = ( 2630 × 2635) / 5
LCM(2630,2635) = 6930050 / 5
LCM(2630,2635) = 1386010
(i) The LCM of 2635 and 2630 is associative
LCM of 2630 and 2635 = LCM of 2635 and 2630
1. What is the LCM of 2630 and 2635?
Answer: LCM of 2630 and 2635 is 1386010.
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 2635?
Answer: Factors of 2635 are 1, 5, 17, 31, 85, 155, 527, 2635. There are 8 integers that are factors of 2635. The greatest factor of 2635 is 2635.
4. How to Find the LCM of 2630 and 2635?
Answer:
Least Common Multiple of 2630 and 2635 = 1386010
Step 1: Find the prime factorization of 2630
2630 = 2 x 5 x 263
Step 2: Find the prime factorization of 2635
2635 = 5 x 17 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1386010 = 2 x 5 x 17 x 31 x 263
Step 4: Therefore, the least common multiple of 2630 and 2635 is 1386010.