Least Common Multiple (LCM) of 167 and 110
The least common multiple (LCM) of 167 and 110 is 18370.
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 110?
First, calculate the GCD of 167 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 110 = 1 remainder 57 |
| 2 | 110 ÷ 57 = 1 remainder 53 |
| 3 | 57 ÷ 53 = 1 remainder 4 |
| 4 | 53 ÷ 4 = 13 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 180 | 12060 |
| 89 and 125 | 11125 |
| 31 and 29 | 899 |
| 157 and 71 | 11147 |
| 56 and 148 | 2072 |