Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4062 and 4067 the smallest integer that is 16520154 that is divisible by both numbers.
Least Common Multiple (LCM) of 4062 and 4067 is 16520154.
LCM(4062,4067) = 16520154
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 4062 and 4067. First we will calculate the prime factors of 4062 and 4067.
Prime Factorization of 4062
2 | 4062 |
3 | 2031 |
677 | 677 |
1 |
Prime factors of 4062 are 2, 3,677. Prime factorization of 4062 in exponential form is:
4062 = 21×31×6771
Prime Factorization of 4067
7 | 4067 |
7 | 581 |
83 | 83 |
1 |
Prime factors of 4067 are 7,83. Prime factorization of 4067 in exponential form is:
4067 = 72×831
Now multiplying the highest exponent prime factors to calculate the LCM of 4062 and 4067.
LCM(4062,4067) = 21×31×72×831×6771
LCM(4062,4067) = 16520154
Factors of 4062
List of positive integer factors of 4062 that divides 4062 without a remainder.
1, 2, 3, 6, 677, 1354, 2031, 4062
Factors of 4067
List of positive integer factors of 4067 that divides 4067 without a remainder.
1, 7, 49, 83, 581, 4067
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4062 and 4067, than apply into the LCM equation.
GCF(4062,4067) = 1
LCM(4062,4067) = ( 4062 × 4067) / 1
LCM(4062,4067) = 16520154 / 1
LCM(4062,4067) = 16520154
(i) The LCM of 4067 and 4062 is associative
LCM of 4062 and 4067 = LCM of 4067 and 4062
1. What is the LCM of 4062 and 4067?
Answer: LCM of 4062 and 4067 is 16520154.
2. What are the Factors of 4062?
Answer: Factors of 4062 are 1, 2, 3, 6, 677, 1354, 2031, 4062. There are 8 integers that are factors of 4062. The greatest factor of 4062 is 4062.
3. What are the Factors of 4067?
Answer: Factors of 4067 are 1, 7, 49, 83, 581, 4067. There are 6 integers that are factors of 4067. The greatest factor of 4067 is 4067.
4. How to Find the LCM of 4062 and 4067?
Answer:
Least Common Multiple of 4062 and 4067 = 16520154
Step 1: Find the prime factorization of 4062
4062 = 2 x 3 x 677
Step 2: Find the prime factorization of 4067
4067 = 7 x 7 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16520154 = 2 x 3 x 7 x 7 x 83 x 677
Step 4: Therefore, the least common multiple of 4062 and 4067 is 16520154.