Least Common Multiple (LCM) of 167 and 91
The least common multiple (LCM) of 167 and 91 is 15197.
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 91?
First, calculate the GCD of 167 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 91 = 1 remainder 76 |
| 2 | 91 ÷ 76 = 1 remainder 15 |
| 3 | 76 ÷ 15 = 5 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 39 | 546 |
| 100 and 158 | 7900 |
| 31 and 197 | 6107 |
| 171 and 103 | 17613 |
| 68 and 194 | 6596 |