Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8630 and 8635 the smallest integer that is 14904010 that is divisible by both numbers.
Least Common Multiple (LCM) of 8630 and 8635 is 14904010.
LCM(8630,8635) = 14904010
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 8630 and 8635. First we will calculate the prime factors of 8630 and 8635.
Prime Factorization of 8630
2 | 8630 |
5 | 4315 |
863 | 863 |
1 |
Prime factors of 8630 are 2, 5,863. Prime factorization of 8630 in exponential form is:
8630 = 21×51×8631
Prime Factorization of 8635
5 | 8635 |
11 | 1727 |
157 | 157 |
1 |
Prime factors of 8635 are 5, 11,157. Prime factorization of 8635 in exponential form is:
8635 = 51×111×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 8630 and 8635.
LCM(8630,8635) = 21×51×111×1571×8631
LCM(8630,8635) = 14904010
Factors of 8630
List of positive integer factors of 8630 that divides 8630 without a remainder.
1, 2, 5, 10, 863, 1726, 4315, 8630
Factors of 8635
List of positive integer factors of 8635 that divides 8635 without a remainder.
1, 5, 11, 55, 157, 785, 1727, 8635
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8630 and 8635, than apply into the LCM equation.
GCF(8630,8635) = 5
LCM(8630,8635) = ( 8630 × 8635) / 5
LCM(8630,8635) = 74520050 / 5
LCM(8630,8635) = 14904010
(i) The LCM of 8635 and 8630 is associative
LCM of 8630 and 8635 = LCM of 8635 and 8630
1. What is the LCM of 8630 and 8635?
Answer: LCM of 8630 and 8635 is 14904010.
2. What are the Factors of 8630?
Answer: Factors of 8630 are 1, 2, 5, 10, 863, 1726, 4315, 8630. There are 8 integers that are factors of 8630. The greatest factor of 8630 is 8630.
3. What are the Factors of 8635?
Answer: Factors of 8635 are 1, 5, 11, 55, 157, 785, 1727, 8635. There are 8 integers that are factors of 8635. The greatest factor of 8635 is 8635.
4. How to Find the LCM of 8630 and 8635?
Answer:
Least Common Multiple of 8630 and 8635 = 14904010
Step 1: Find the prime factorization of 8630
8630 = 2 x 5 x 863
Step 2: Find the prime factorization of 8635
8635 = 5 x 11 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14904010 = 2 x 5 x 11 x 157 x 863
Step 4: Therefore, the least common multiple of 8630 and 8635 is 14904010.