Least Common Multiple of 42 and 86
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 42 and 86 the smallest integer that is 1806 that is divisible by both numbers.
Least Common Multiple (LCM) of 42 and 86 is 1806.
LCM(42,86) = 1806
LCM of 42 and 86
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 42 and 86 by Prime method
- Least Common Multiple of 42 and 86 with GCF Formula
LCM of 42 and 86 is 1806
Least common multiple can be found by multiplying the highest exponent prime factors of 42 and 86. First we will calculate the prime factors of 42 and 86.
Prime Factorization of 42
| 2 | 42 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 42 are 2, 3,7. Prime factorization of 42 in exponential form is:
42 = 21×31×71
Prime Factorization of 86
| 2 | 86 |
| 43 | 43 |
| 1 |
Prime factors of 86 are 2,43. Prime factorization of 86 in exponential form is:
86 = 21×431
Now multiplying the highest exponent prime factors to calculate the LCM of 42 and 86.
LCM(42,86) = 21×31×71×431
LCM(42,86) = 1806
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Least Common Multiple of 42 and 86 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42 and 86, than apply into the LCM equation.
GCF(42,86) = 2
LCM(42,86) = ( 42 × 86) / 2
LCM(42,86) = 3612 / 2
LCM(42,86) = 1806
Properties of LCM 42 and 86
(i) The LCM of 86 and 42 is associative
LCM of 42 and 86 = LCM of 86 and 42
Related Least Common Multiples of 42
Related Least Common Multiples of 86
Frequently Asked Questions on LCM of 42 and 86
1. What is the LCM of 42 and 86?
Answer: LCM of 42 and 86 is 1806.
2. What are the Factors of 42?
Answer: Factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42. There are 8 integers that are factors of 42. The greatest factor of 42 is 42.
3. What are the Factors of 86?
Answer: Factors of 86 are 1, 2, 43, 86. There are 4 integers that are factors of 86. The greatest factor of 86 is 86.
4. How to Find the LCM of 42 and 86?
Answer:
Least Common Multiple of 42 and 86 = 1806
Step 1: Find the prime factorization of 42
42 = 2 x 3 x 7
Step 2: Find the prime factorization of 86
86 = 2 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1806 = 2 x 3 x 7 x 43
Step 4: Therefore, the least common multiple of 42 and 86 is 1806.
