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 |
|---|---|
| 50 and 184 | 4600 |
| 108 and 174 | 3132 |
| 155 and 60 | 1860 |
| 41 and 136 | 5576 |
| 45 and 87 | 1305 |