Least Common Multiple (LCM) of 167 and 92
The least common multiple (LCM) of 167 and 92 is 15364.
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 92?
First, calculate the GCD of 167 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 92 = 1 remainder 75 |
| 2 | 92 ÷ 75 = 1 remainder 17 |
| 3 | 75 ÷ 17 = 4 remainder 7 |
| 4 | 17 ÷ 7 = 2 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 111 | 4218 |
| 160 and 11 | 1760 |
| 90 and 160 | 1440 |
| 151 and 11 | 1661 |
| 174 and 36 | 1044 |