Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6062 and 6067 the smallest integer that is 36778154 that is divisible by both numbers.
Least Common Multiple (LCM) of 6062 and 6067 is 36778154.
LCM(6062,6067) = 36778154
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 6062 and 6067. First we will calculate the prime factors of 6062 and 6067.
Prime Factorization of 6062
2 | 6062 |
7 | 3031 |
433 | 433 |
1 |
Prime factors of 6062 are 2, 7,433. Prime factorization of 6062 in exponential form is:
6062 = 21×71×4331
Prime Factorization of 6067
6067 | 6067 |
1 |
Prime factors of 6067 are 6067. Prime factorization of 6067 in exponential form is:
6067 = 60671
Now multiplying the highest exponent prime factors to calculate the LCM of 6062 and 6067.
LCM(6062,6067) = 21×71×4331×60671
LCM(6062,6067) = 36778154
Factors of 6062
List of positive integer factors of 6062 that divides 6062 without a remainder.
1, 2, 7, 14, 433, 866, 3031, 6062
Factors of 6067
List of positive integer factors of 6067 that divides 6067 without a remainder.
1, 6067
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6062 and 6067, than apply into the LCM equation.
GCF(6062,6067) = 1
LCM(6062,6067) = ( 6062 × 6067) / 1
LCM(6062,6067) = 36778154 / 1
LCM(6062,6067) = 36778154
(i) The LCM of 6067 and 6062 is associative
LCM of 6062 and 6067 = LCM of 6067 and 6062
1. What is the LCM of 6062 and 6067?
Answer: LCM of 6062 and 6067 is 36778154.
2. What are the Factors of 6062?
Answer: Factors of 6062 are 1, 2, 7, 14, 433, 866, 3031, 6062. There are 8 integers that are factors of 6062. The greatest factor of 6062 is 6062.
3. What are the Factors of 6067?
Answer: Factors of 6067 are 1, 6067. There are 2 integers that are factors of 6067. The greatest factor of 6067 is 6067.
4. How to Find the LCM of 6062 and 6067?
Answer:
Least Common Multiple of 6062 and 6067 = 36778154
Step 1: Find the prime factorization of 6062
6062 = 2 x 7 x 433
Step 2: Find the prime factorization of 6067
6067 = 6067
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36778154 = 2 x 7 x 433 x 6067
Step 4: Therefore, the least common multiple of 6062 and 6067 is 36778154.