Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8301 and 8304 the smallest integer that is 22977168 that is divisible by both numbers.
Least Common Multiple (LCM) of 8301 and 8304 is 22977168.
LCM(8301,8304) = 22977168
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 8301 and 8304. First we will calculate the prime factors of 8301 and 8304.
Prime Factorization of 8301
3 | 8301 |
2767 | 2767 |
1 |
Prime factors of 8301 are 3,2767. Prime factorization of 8301 in exponential form is:
8301 = 31×27671
Prime Factorization of 8304
2 | 8304 |
2 | 4152 |
2 | 2076 |
2 | 1038 |
3 | 519 |
173 | 173 |
1 |
Prime factors of 8304 are 2, 3,173. Prime factorization of 8304 in exponential form is:
8304 = 24×31×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 8301 and 8304.
LCM(8301,8304) = 24×31×1731×27671
LCM(8301,8304) = 22977168
Factors of 8301
List of positive integer factors of 8301 that divides 8301 without a remainder.
1, 3, 2767, 8301
Factors of 8304
List of positive integer factors of 8304 that divides 8304 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8301 and 8304, than apply into the LCM equation.
GCF(8301,8304) = 3
LCM(8301,8304) = ( 8301 × 8304) / 3
LCM(8301,8304) = 68931504 / 3
LCM(8301,8304) = 22977168
(i) The LCM of 8304 and 8301 is associative
LCM of 8301 and 8304 = LCM of 8304 and 8301
1. What is the LCM of 8301 and 8304?
Answer: LCM of 8301 and 8304 is 22977168.
2. What are the Factors of 8301?
Answer: Factors of 8301 are 1, 3, 2767, 8301. There are 4 integers that are factors of 8301. The greatest factor of 8301 is 8301.
3. What are the Factors of 8304?
Answer: Factors of 8304 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304. There are 20 integers that are factors of 8304. The greatest factor of 8304 is 8304.
4. How to Find the LCM of 8301 and 8304?
Answer:
Least Common Multiple of 8301 and 8304 = 22977168
Step 1: Find the prime factorization of 8301
8301 = 3 x 2767
Step 2: Find the prime factorization of 8304
8304 = 2 x 2 x 2 x 2 x 3 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22977168 = 2 x 2 x 2 x 2 x 3 x 173 x 2767
Step 4: Therefore, the least common multiple of 8301 and 8304 is 22977168.