Least Common Multiple of 42 and 43
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 43 the smallest integer that is 1806 that is divisible by both numbers.
Least Common Multiple (LCM) of 42 and 43 is 1806.
LCM(42,43) = 1806
LCM of 42 and 43
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 42 and 43 by Prime method
- Least Common Multiple of 42 and 43 with GCF Formula
LCM of 42 and 43 is 1806
Least common multiple can be found by multiplying the highest exponent prime factors of 42 and 43. First we will calculate the prime factors of 42 and 43.
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 43
| 43 | 43 |
| 1 |
Prime factors of 43 are 43. Prime factorization of 43 in exponential form is:
43 = 431
Now multiplying the highest exponent prime factors to calculate the LCM of 42 and 43.
LCM(42,43) = 21×31×71×431
LCM(42,43) = 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 43
List of positive integer factors of 43 that divides 43 without a remainder.
1, 43
Least Common Multiple of 42 and 43 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 43, than apply into the LCM equation.
GCF(42,43) = 1
LCM(42,43) = ( 42 × 43) / 1
LCM(42,43) = 1806 / 1
LCM(42,43) = 1806
Properties of LCM 42 and 43
(i) The LCM of 43 and 42 is associative
LCM of 42 and 43 = LCM of 43 and 42
Related Least Common Multiples of 42
Related Least Common Multiples of 43
Frequently Asked Questions on LCM of 42 and 43
1. What is the LCM of 42 and 43?
Answer: LCM of 42 and 43 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 43?
Answer: Factors of 43 are 1, 43. There are 2 integers that are factors of 43. The greatest factor of 43 is 43.
4. How to Find the LCM of 42 and 43?
Answer:
Least Common Multiple of 42 and 43 = 1806
Step 1: Find the prime factorization of 42
42 = 2 x 3 x 7
Step 2: Find the prime factorization of 43
43 = 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 43 is 1806.
