Least Common Multiple (LCM) of 167 and 87
The least common multiple (LCM) of 167 and 87 is 14529.
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 87?
First, calculate the GCD of 167 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 87 = 1 remainder 80 |
| 2 | 87 ÷ 80 = 1 remainder 7 |
| 3 | 80 ÷ 7 = 11 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 53 | 8586 |
| 127 and 197 | 25019 |
| 185 and 141 | 26085 |
| 76 and 156 | 2964 |
| 163 and 11 | 1793 |