Least Common Multiple (LCM) of 167 and 142
The least common multiple (LCM) of 167 and 142 is 23714.
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 142?
First, calculate the GCD of 167 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 142 = 1 remainder 25 |
| 2 | 142 ÷ 25 = 5 remainder 17 |
| 3 | 25 ÷ 17 = 1 remainder 8 |
| 4 | 17 ÷ 8 = 2 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 131 | 13362 |
| 10 and 103 | 1030 |
| 55 and 124 | 6820 |
| 72 and 67 | 4824 |
| 189 and 109 | 20601 |