Least Common Multiple (LCM) of 168 and 73
The least common multiple (LCM) of 168 and 73 is 12264.
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 168 and 73?
First, calculate the GCD of 168 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 73 = 2 remainder 22 |
| 2 | 73 ÷ 22 = 3 remainder 7 |
| 3 | 22 ÷ 7 = 3 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 124 | 5828 |
| 161 and 73 | 11753 |
| 199 and 165 | 32835 |
| 158 and 142 | 11218 |
| 94 and 101 | 9494 |