Least Common Multiple (LCM) of 167 and 158
The least common multiple (LCM) of 167 and 158 is 26386.
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 158?
First, calculate the GCD of 167 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 158 = 1 remainder 9 |
| 2 | 158 ÷ 9 = 17 remainder 5 |
| 3 | 9 ÷ 5 = 1 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 135 | 14310 |
| 129 and 192 | 8256 |
| 116 and 104 | 3016 |
| 114 and 31 | 3534 |
| 30 and 118 | 1770 |