Least Common Multiple (LCM) of 167 and 164
The least common multiple (LCM) of 167 and 164 is 27388.
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 164?
First, calculate the GCD of 167 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 164 = 1 remainder 3 |
| 2 | 164 ÷ 3 = 54 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 69 | 2760 |
| 37 and 125 | 4625 |
| 155 and 159 | 24645 |
| 116 and 190 | 11020 |
| 39 and 153 | 1989 |