Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8115 and 8119 the smallest integer that is 65885685 that is divisible by both numbers.
Least Common Multiple (LCM) of 8115 and 8119 is 65885685.
LCM(8115,8119) = 65885685
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 8115 and 8119. First we will calculate the prime factors of 8115 and 8119.
Prime Factorization of 8115
3 | 8115 |
5 | 2705 |
541 | 541 |
1 |
Prime factors of 8115 are 3, 5,541. Prime factorization of 8115 in exponential form is:
8115 = 31×51×5411
Prime Factorization of 8119
23 | 8119 |
353 | 353 |
1 |
Prime factors of 8119 are 23,353. Prime factorization of 8119 in exponential form is:
8119 = 231×3531
Now multiplying the highest exponent prime factors to calculate the LCM of 8115 and 8119.
LCM(8115,8119) = 31×51×231×3531×5411
LCM(8115,8119) = 65885685
Factors of 8115
List of positive integer factors of 8115 that divides 8115 without a remainder.
1, 3, 5, 15, 541, 1623, 2705, 8115
Factors of 8119
List of positive integer factors of 8119 that divides 8119 without a remainder.
1, 23, 353, 8119
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8115 and 8119, than apply into the LCM equation.
GCF(8115,8119) = 1
LCM(8115,8119) = ( 8115 × 8119) / 1
LCM(8115,8119) = 65885685 / 1
LCM(8115,8119) = 65885685
(i) The LCM of 8119 and 8115 is associative
LCM of 8115 and 8119 = LCM of 8119 and 8115
1. What is the LCM of 8115 and 8119?
Answer: LCM of 8115 and 8119 is 65885685.
2. What are the Factors of 8115?
Answer: Factors of 8115 are 1, 3, 5, 15, 541, 1623, 2705, 8115. There are 8 integers that are factors of 8115. The greatest factor of 8115 is 8115.
3. What are the Factors of 8119?
Answer: Factors of 8119 are 1, 23, 353, 8119. There are 4 integers that are factors of 8119. The greatest factor of 8119 is 8119.
4. How to Find the LCM of 8115 and 8119?
Answer:
Least Common Multiple of 8115 and 8119 = 65885685
Step 1: Find the prime factorization of 8115
8115 = 3 x 5 x 541
Step 2: Find the prime factorization of 8119
8119 = 23 x 353
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65885685 = 3 x 5 x 23 x 353 x 541
Step 4: Therefore, the least common multiple of 8115 and 8119 is 65885685.