Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8476 and 8484 the smallest integer that is 17977596 that is divisible by both numbers.
Least Common Multiple (LCM) of 8476 and 8484 is 17977596.
LCM(8476,8484) = 17977596
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 8476 and 8484. First we will calculate the prime factors of 8476 and 8484.
Prime Factorization of 8476
2 | 8476 |
2 | 4238 |
13 | 2119 |
163 | 163 |
1 |
Prime factors of 8476 are 2, 13,163. Prime factorization of 8476 in exponential form is:
8476 = 22×131×1631
Prime Factorization of 8484
2 | 8484 |
2 | 4242 |
3 | 2121 |
7 | 707 |
101 | 101 |
1 |
Prime factors of 8484 are 2, 3, 7,101. Prime factorization of 8484 in exponential form is:
8484 = 22×31×71×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 8476 and 8484.
LCM(8476,8484) = 22×31×71×131×1011×1631
LCM(8476,8484) = 17977596
Factors of 8476
List of positive integer factors of 8476 that divides 8476 without a remainder.
1, 2, 4, 13, 26, 52, 163, 326, 652, 2119, 4238, 8476
Factors of 8484
List of positive integer factors of 8484 that divides 8484 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8476 and 8484, than apply into the LCM equation.
GCF(8476,8484) = 4
LCM(8476,8484) = ( 8476 × 8484) / 4
LCM(8476,8484) = 71910384 / 4
LCM(8476,8484) = 17977596
(i) The LCM of 8484 and 8476 is associative
LCM of 8476 and 8484 = LCM of 8484 and 8476
1. What is the LCM of 8476 and 8484?
Answer: LCM of 8476 and 8484 is 17977596.
2. What are the Factors of 8476?
Answer: Factors of 8476 are 1, 2, 4, 13, 26, 52, 163, 326, 652, 2119, 4238, 8476. There are 12 integers that are factors of 8476. The greatest factor of 8476 is 8476.
3. What are the Factors of 8484?
Answer: Factors of 8484 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484. There are 24 integers that are factors of 8484. The greatest factor of 8484 is 8484.
4. How to Find the LCM of 8476 and 8484?
Answer:
Least Common Multiple of 8476 and 8484 = 17977596
Step 1: Find the prime factorization of 8476
8476 = 2 x 2 x 13 x 163
Step 2: Find the prime factorization of 8484
8484 = 2 x 2 x 3 x 7 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17977596 = 2 x 2 x 3 x 7 x 13 x 101 x 163
Step 4: Therefore, the least common multiple of 8476 and 8484 is 17977596.