Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6114 and 6122 the smallest integer that is 18714954 that is divisible by both numbers.
Least Common Multiple (LCM) of 6114 and 6122 is 18714954.
LCM(6114,6122) = 18714954
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 6114 and 6122. First we will calculate the prime factors of 6114 and 6122.
Prime Factorization of 6114
2 | 6114 |
3 | 3057 |
1019 | 1019 |
1 |
Prime factors of 6114 are 2, 3,1019. Prime factorization of 6114 in exponential form is:
6114 = 21×31×10191
Prime Factorization of 6122
2 | 6122 |
3061 | 3061 |
1 |
Prime factors of 6122 are 2,3061. Prime factorization of 6122 in exponential form is:
6122 = 21×30611
Now multiplying the highest exponent prime factors to calculate the LCM of 6114 and 6122.
LCM(6114,6122) = 21×31×10191×30611
LCM(6114,6122) = 18714954
Factors of 6114
List of positive integer factors of 6114 that divides 6114 without a remainder.
1, 2, 3, 6, 1019, 2038, 3057, 6114
Factors of 6122
List of positive integer factors of 6122 that divides 6122 without a remainder.
1, 2, 3061, 6122
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6114 and 6122, than apply into the LCM equation.
GCF(6114,6122) = 2
LCM(6114,6122) = ( 6114 × 6122) / 2
LCM(6114,6122) = 37429908 / 2
LCM(6114,6122) = 18714954
(i) The LCM of 6122 and 6114 is associative
LCM of 6114 and 6122 = LCM of 6122 and 6114
1. What is the LCM of 6114 and 6122?
Answer: LCM of 6114 and 6122 is 18714954.
2. What are the Factors of 6114?
Answer: Factors of 6114 are 1, 2, 3, 6, 1019, 2038, 3057, 6114. There are 8 integers that are factors of 6114. The greatest factor of 6114 is 6114.
3. What are the Factors of 6122?
Answer: Factors of 6122 are 1, 2, 3061, 6122. There are 4 integers that are factors of 6122. The greatest factor of 6122 is 6122.
4. How to Find the LCM of 6114 and 6122?
Answer:
Least Common Multiple of 6114 and 6122 = 18714954
Step 1: Find the prime factorization of 6114
6114 = 2 x 3 x 1019
Step 2: Find the prime factorization of 6122
6122 = 2 x 3061
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18714954 = 2 x 3 x 1019 x 3061
Step 4: Therefore, the least common multiple of 6114 and 6122 is 18714954.