Least Common Multiple (LCM) of 167 and 111
The least common multiple (LCM) of 167 and 111 is 18537.
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 111?
First, calculate the GCD of 167 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 111 = 1 remainder 56 |
| 2 | 111 ÷ 56 = 1 remainder 55 |
| 3 | 56 ÷ 55 = 1 remainder 1 |
| 4 | 55 ÷ 1 = 55 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 191 | 26740 |
| 28 and 141 | 3948 |
| 90 and 97 | 8730 |
| 74 and 173 | 12802 |
| 53 and 189 | 10017 |