Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9869 and 9874 the smallest integer that is 97446506 that is divisible by both numbers.
Least Common Multiple (LCM) of 9869 and 9874 is 97446506.
LCM(9869,9874) = 97446506
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 9869 and 9874. First we will calculate the prime factors of 9869 and 9874.
Prime Factorization of 9869
71 | 9869 |
139 | 139 |
1 |
Prime factors of 9869 are 71,139. Prime factorization of 9869 in exponential form is:
9869 = 711×1391
Prime Factorization of 9874
2 | 9874 |
4937 | 4937 |
1 |
Prime factors of 9874 are 2,4937. Prime factorization of 9874 in exponential form is:
9874 = 21×49371
Now multiplying the highest exponent prime factors to calculate the LCM of 9869 and 9874.
LCM(9869,9874) = 21×711×1391×49371
LCM(9869,9874) = 97446506
Factors of 9869
List of positive integer factors of 9869 that divides 9869 without a remainder.
1, 71, 139, 9869
Factors of 9874
List of positive integer factors of 9874 that divides 9874 without a remainder.
1, 2, 4937, 9874
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9869 and 9874, than apply into the LCM equation.
GCF(9869,9874) = 1
LCM(9869,9874) = ( 9869 × 9874) / 1
LCM(9869,9874) = 97446506 / 1
LCM(9869,9874) = 97446506
(i) The LCM of 9874 and 9869 is associative
LCM of 9869 and 9874 = LCM of 9874 and 9869
1. What is the LCM of 9869 and 9874?
Answer: LCM of 9869 and 9874 is 97446506.
2. What are the Factors of 9869?
Answer: Factors of 9869 are 1, 71, 139, 9869. There are 4 integers that are factors of 9869. The greatest factor of 9869 is 9869.
3. What are the Factors of 9874?
Answer: Factors of 9874 are 1, 2, 4937, 9874. There are 4 integers that are factors of 9874. The greatest factor of 9874 is 9874.
4. How to Find the LCM of 9869 and 9874?
Answer:
Least Common Multiple of 9869 and 9874 = 97446506
Step 1: Find the prime factorization of 9869
9869 = 71 x 139
Step 2: Find the prime factorization of 9874
9874 = 2 x 4937
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97446506 = 2 x 71 x 139 x 4937
Step 4: Therefore, the least common multiple of 9869 and 9874 is 97446506.