Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9915 and 9919 the smallest integer that is 98346885 that is divisible by both numbers.
Least Common Multiple (LCM) of 9915 and 9919 is 98346885.
LCM(9915,9919) = 98346885
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 9915 and 9919. First we will calculate the prime factors of 9915 and 9919.
Prime Factorization of 9915
3 | 9915 |
5 | 3305 |
661 | 661 |
1 |
Prime factors of 9915 are 3, 5,661. Prime factorization of 9915 in exponential form is:
9915 = 31×51×6611
Prime Factorization of 9919
7 | 9919 |
13 | 1417 |
109 | 109 |
1 |
Prime factors of 9919 are 7, 13,109. Prime factorization of 9919 in exponential form is:
9919 = 71×131×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 9915 and 9919.
LCM(9915,9919) = 31×51×71×131×1091×6611
LCM(9915,9919) = 98346885
Factors of 9915
List of positive integer factors of 9915 that divides 9915 without a remainder.
1, 3, 5, 15, 661, 1983, 3305, 9915
Factors of 9919
List of positive integer factors of 9919 that divides 9919 without a remainder.
1, 7, 13, 91, 109, 763, 1417, 9919
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9915 and 9919, than apply into the LCM equation.
GCF(9915,9919) = 1
LCM(9915,9919) = ( 9915 × 9919) / 1
LCM(9915,9919) = 98346885 / 1
LCM(9915,9919) = 98346885
(i) The LCM of 9919 and 9915 is associative
LCM of 9915 and 9919 = LCM of 9919 and 9915
1. What is the LCM of 9915 and 9919?
Answer: LCM of 9915 and 9919 is 98346885.
2. What are the Factors of 9915?
Answer: Factors of 9915 are 1, 3, 5, 15, 661, 1983, 3305, 9915. There are 8 integers that are factors of 9915. The greatest factor of 9915 is 9915.
3. What are the Factors of 9919?
Answer: Factors of 9919 are 1, 7, 13, 91, 109, 763, 1417, 9919. There are 8 integers that are factors of 9919. The greatest factor of 9919 is 9919.
4. How to Find the LCM of 9915 and 9919?
Answer:
Least Common Multiple of 9915 and 9919 = 98346885
Step 1: Find the prime factorization of 9915
9915 = 3 x 5 x 661
Step 2: Find the prime factorization of 9919
9919 = 7 x 13 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98346885 = 3 x 5 x 7 x 13 x 109 x 661
Step 4: Therefore, the least common multiple of 9915 and 9919 is 98346885.