Least Common Multiple (LCM) of 167 and 89
The least common multiple (LCM) of 167 and 89 is 14863.
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 89?
First, calculate the GCD of 167 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 89 = 1 remainder 78 |
| 2 | 89 ÷ 78 = 1 remainder 11 |
| 3 | 78 ÷ 11 = 7 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 63 | 6678 |
| 60 and 164 | 2460 |
| 27 and 35 | 945 |
| 165 and 55 | 165 |
| 182 and 44 | 4004 |