Least Common Multiple (LCM) of 167 and 143
The least common multiple (LCM) of 167 and 143 is 23881.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 167 and 143?
First, calculate the GCD of 167 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 143 = 1 remainder 24 |
| 2 | 143 ÷ 24 = 5 remainder 23 |
| 3 | 24 ÷ 23 = 1 remainder 1 |
| 4 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 87 | 174 |
| 60 and 122 | 3660 |
| 115 and 171 | 19665 |
| 135 and 88 | 11880 |
| 187 and 149 | 27863 |