Least Common Multiple (LCM) of 167 and 17
The least common multiple (LCM) of 167 and 17 is 2839.
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 17?
First, calculate the GCD of 167 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 17 = 9 remainder 14 |
| 2 | 17 ÷ 14 = 1 remainder 3 |
| 3 | 14 ÷ 3 = 4 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 135 | 3780 |
| 112 and 53 | 5936 |
| 195 and 148 | 28860 |
| 104 and 102 | 5304 |
| 126 and 32 | 2016 |