Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8890 and 8895 the smallest integer that is 15815310 that is divisible by both numbers.
Least Common Multiple (LCM) of 8890 and 8895 is 15815310.
LCM(8890,8895) = 15815310
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 8890 and 8895. First we will calculate the prime factors of 8890 and 8895.
Prime Factorization of 8890
2 | 8890 |
5 | 4445 |
7 | 889 |
127 | 127 |
1 |
Prime factors of 8890 are 2, 5, 7,127. Prime factorization of 8890 in exponential form is:
8890 = 21×51×71×1271
Prime Factorization of 8895
3 | 8895 |
5 | 2965 |
593 | 593 |
1 |
Prime factors of 8895 are 3, 5,593. Prime factorization of 8895 in exponential form is:
8895 = 31×51×5931
Now multiplying the highest exponent prime factors to calculate the LCM of 8890 and 8895.
LCM(8890,8895) = 21×31×51×71×1271×5931
LCM(8890,8895) = 15815310
Factors of 8890
List of positive integer factors of 8890 that divides 8890 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 127, 254, 635, 889, 1270, 1778, 4445, 8890
Factors of 8895
List of positive integer factors of 8895 that divides 8895 without a remainder.
1, 3, 5, 15, 593, 1779, 2965, 8895
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8890 and 8895, than apply into the LCM equation.
GCF(8890,8895) = 5
LCM(8890,8895) = ( 8890 × 8895) / 5
LCM(8890,8895) = 79076550 / 5
LCM(8890,8895) = 15815310
(i) The LCM of 8895 and 8890 is associative
LCM of 8890 and 8895 = LCM of 8895 and 8890
1. What is the LCM of 8890 and 8895?
Answer: LCM of 8890 and 8895 is 15815310.
2. What are the Factors of 8890?
Answer: Factors of 8890 are 1, 2, 5, 7, 10, 14, 35, 70, 127, 254, 635, 889, 1270, 1778, 4445, 8890. There are 16 integers that are factors of 8890. The greatest factor of 8890 is 8890.
3. What are the Factors of 8895?
Answer: Factors of 8895 are 1, 3, 5, 15, 593, 1779, 2965, 8895. There are 8 integers that are factors of 8895. The greatest factor of 8895 is 8895.
4. How to Find the LCM of 8890 and 8895?
Answer:
Least Common Multiple of 8890 and 8895 = 15815310
Step 1: Find the prime factorization of 8890
8890 = 2 x 5 x 7 x 127
Step 2: Find the prime factorization of 8895
8895 = 3 x 5 x 593
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15815310 = 2 x 3 x 5 x 7 x 127 x 593
Step 4: Therefore, the least common multiple of 8890 and 8895 is 15815310.