Least Common Multiple (LCM) of 167 and 67
The least common multiple (LCM) of 167 and 67 is 11189.
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 67?
First, calculate the GCD of 167 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 67 = 2 remainder 33 |
| 2 | 67 ÷ 33 = 2 remainder 1 |
| 3 | 33 ÷ 1 = 33 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 137 | 20139 |
| 162 and 67 | 10854 |
| 118 and 168 | 9912 |
| 75 and 117 | 2925 |
| 130 and 16 | 1040 |