Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6108 and 6114 the smallest integer that is 6224052 that is divisible by both numbers.
Least Common Multiple (LCM) of 6108 and 6114 is 6224052.
LCM(6108,6114) = 6224052
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 6108 and 6114. First we will calculate the prime factors of 6108 and 6114.
Prime Factorization of 6108
2 | 6108 |
2 | 3054 |
3 | 1527 |
509 | 509 |
1 |
Prime factors of 6108 are 2, 3,509. Prime factorization of 6108 in exponential form is:
6108 = 22×31×5091
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6108 and 6114.
LCM(6108,6114) = 22×31×5091×10191
LCM(6108,6114) = 6224052
Factors of 6108
List of positive integer factors of 6108 that divides 6108 without a remainder.
1, 2, 3, 4, 6, 12, 509, 1018, 1527, 2036, 3054, 6108
Factors of 6114
List of positive integer factors of 6114 that divides 6114 without a remainder.
1, 2, 3, 6, 1019, 2038, 3057, 6114
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6108 and 6114, than apply into the LCM equation.
GCF(6108,6114) = 6
LCM(6108,6114) = ( 6108 × 6114) / 6
LCM(6108,6114) = 37344312 / 6
LCM(6108,6114) = 6224052
(i) The LCM of 6114 and 6108 is associative
LCM of 6108 and 6114 = LCM of 6114 and 6108
1. What is the LCM of 6108 and 6114?
Answer: LCM of 6108 and 6114 is 6224052.
2. What are the Factors of 6108?
Answer: Factors of 6108 are 1, 2, 3, 4, 6, 12, 509, 1018, 1527, 2036, 3054, 6108. There are 12 integers that are factors of 6108. The greatest factor of 6108 is 6108.
3. 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.
4. How to Find the LCM of 6108 and 6114?
Answer:
Least Common Multiple of 6108 and 6114 = 6224052
Step 1: Find the prime factorization of 6108
6108 = 2 x 2 x 3 x 509
Step 2: Find the prime factorization of 6114
6114 = 2 x 3 x 1019
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6224052 = 2 x 2 x 3 x 509 x 1019
Step 4: Therefore, the least common multiple of 6108 and 6114 is 6224052.