Least Common Multiple (LCM) of 142 and 167
The least common multiple (LCM) of 142 and 167 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 142 and 167?
First, calculate the GCD of 142 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 167 = 0 remainder 142 |
| 2 | 167 ÷ 142 = 1 remainder 25 |
| 3 | 142 ÷ 25 = 5 remainder 17 |
| 4 | 25 ÷ 17 = 1 remainder 8 |
| 5 | 17 ÷ 8 = 2 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 88 | 9592 |
| 83 and 48 | 3984 |
| 170 and 89 | 15130 |
| 85 and 109 | 9265 |
| 154 and 107 | 16478 |