Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6078 and 6081 the smallest integer that is 12320106 that is divisible by both numbers.
Least Common Multiple (LCM) of 6078 and 6081 is 12320106.
LCM(6078,6081) = 12320106
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 6078 and 6081. First we will calculate the prime factors of 6078 and 6081.
Prime Factorization of 6078
2 | 6078 |
3 | 3039 |
1013 | 1013 |
1 |
Prime factors of 6078 are 2, 3,1013. Prime factorization of 6078 in exponential form is:
6078 = 21×31×10131
Prime Factorization of 6081
3 | 6081 |
2027 | 2027 |
1 |
Prime factors of 6081 are 3,2027. Prime factorization of 6081 in exponential form is:
6081 = 31×20271
Now multiplying the highest exponent prime factors to calculate the LCM of 6078 and 6081.
LCM(6078,6081) = 21×31×10131×20271
LCM(6078,6081) = 12320106
Factors of 6078
List of positive integer factors of 6078 that divides 6078 without a remainder.
1, 2, 3, 6, 1013, 2026, 3039, 6078
Factors of 6081
List of positive integer factors of 6081 that divides 6081 without a remainder.
1, 3, 2027, 6081
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6078 and 6081, than apply into the LCM equation.
GCF(6078,6081) = 3
LCM(6078,6081) = ( 6078 × 6081) / 3
LCM(6078,6081) = 36960318 / 3
LCM(6078,6081) = 12320106
(i) The LCM of 6081 and 6078 is associative
LCM of 6078 and 6081 = LCM of 6081 and 6078
1. What is the LCM of 6078 and 6081?
Answer: LCM of 6078 and 6081 is 12320106.
2. What are the Factors of 6078?
Answer: Factors of 6078 are 1, 2, 3, 6, 1013, 2026, 3039, 6078. There are 8 integers that are factors of 6078. The greatest factor of 6078 is 6078.
3. What are the Factors of 6081?
Answer: Factors of 6081 are 1, 3, 2027, 6081. There are 4 integers that are factors of 6081. The greatest factor of 6081 is 6081.
4. How to Find the LCM of 6078 and 6081?
Answer:
Least Common Multiple of 6078 and 6081 = 12320106
Step 1: Find the prime factorization of 6078
6078 = 2 x 3 x 1013
Step 2: Find the prime factorization of 6081
6081 = 3 x 2027
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12320106 = 2 x 3 x 1013 x 2027
Step 4: Therefore, the least common multiple of 6078 and 6081 is 12320106.