Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8423 and 8428 the smallest integer that is 70989044 that is divisible by both numbers.
Least Common Multiple (LCM) of 8423 and 8428 is 70989044.
LCM(8423,8428) = 70989044
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 8423 and 8428. First we will calculate the prime factors of 8423 and 8428.
Prime Factorization of 8423
8423 | 8423 |
1 |
Prime factors of 8423 are 8423. Prime factorization of 8423 in exponential form is:
8423 = 84231
Prime Factorization of 8428
2 | 8428 |
2 | 4214 |
7 | 2107 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 8428 are 2, 7,43. Prime factorization of 8428 in exponential form is:
8428 = 22×72×431
Now multiplying the highest exponent prime factors to calculate the LCM of 8423 and 8428.
LCM(8423,8428) = 22×72×431×84231
LCM(8423,8428) = 70989044
Factors of 8423
List of positive integer factors of 8423 that divides 8423 without a remainder.
1, 8423
Factors of 8428
List of positive integer factors of 8428 that divides 8428 without a remainder.
1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8423 and 8428, than apply into the LCM equation.
GCF(8423,8428) = 1
LCM(8423,8428) = ( 8423 × 8428) / 1
LCM(8423,8428) = 70989044 / 1
LCM(8423,8428) = 70989044
(i) The LCM of 8428 and 8423 is associative
LCM of 8423 and 8428 = LCM of 8428 and 8423
1. What is the LCM of 8423 and 8428?
Answer: LCM of 8423 and 8428 is 70989044.
2. What are the Factors of 8423?
Answer: Factors of 8423 are 1, 8423. There are 2 integers that are factors of 8423. The greatest factor of 8423 is 8423.
3. What are the Factors of 8428?
Answer: Factors of 8428 are 1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428. There are 18 integers that are factors of 8428. The greatest factor of 8428 is 8428.
4. How to Find the LCM of 8423 and 8428?
Answer:
Least Common Multiple of 8423 and 8428 = 70989044
Step 1: Find the prime factorization of 8423
8423 = 8423
Step 2: Find the prime factorization of 8428
8428 = 2 x 2 x 7 x 7 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70989044 = 2 x 2 x 7 x 7 x 43 x 8423
Step 4: Therefore, the least common multiple of 8423 and 8428 is 70989044.