Least Common Multiple (LCM) of 167 and 59
The least common multiple (LCM) of 167 and 59 is 9853.
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 59?
First, calculate the GCD of 167 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 59 = 2 remainder 49 |
| 2 | 59 ÷ 49 = 1 remainder 10 |
| 3 | 49 ÷ 10 = 4 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 137 | 16166 |
| 99 and 89 | 8811 |
| 17 and 166 | 2822 |
| 123 and 157 | 19311 |
| 76 and 88 | 1672 |