Least Common Multiple (LCM) of 167 and 186
The least common multiple (LCM) of 167 and 186 is 31062.
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 186?
First, calculate the GCD of 167 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 186 = 0 remainder 167 |
| 2 | 186 ÷ 167 = 1 remainder 19 |
| 3 | 167 ÷ 19 = 8 remainder 15 |
| 4 | 19 ÷ 15 = 1 remainder 4 |
| 5 | 15 ÷ 4 = 3 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 17 | 1683 |
| 30 and 52 | 780 |
| 147 and 45 | 2205 |
| 86 and 28 | 1204 |
| 44 and 123 | 5412 |