Least Common Multiple (LCM) of 167 and 197
The least common multiple (LCM) of 167 and 197 is 32899.
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 197?
First, calculate the GCD of 167 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 197 = 0 remainder 167 |
| 2 | 197 ÷ 167 = 1 remainder 30 |
| 3 | 167 ÷ 30 = 5 remainder 17 |
| 4 | 30 ÷ 17 = 1 remainder 13 |
| 5 | 17 ÷ 13 = 1 remainder 4 |
| 6 | 13 ÷ 4 = 3 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 102 | 10302 |
| 157 and 18 | 2826 |
| 140 and 131 | 18340 |
| 57 and 130 | 7410 |
| 10 and 68 | 340 |