Least Common Multiple (LCM) of 24 and 167
The least common multiple (LCM) of 24 and 167 is 4008.
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 24 and 167?
First, calculate the GCD of 24 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 167 = 0 remainder 24 |
| 2 | 167 ÷ 24 = 6 remainder 23 |
| 3 | 24 ÷ 23 = 1 remainder 1 |
| 4 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 67 | 8174 |
| 80 and 196 | 3920 |
| 109 and 141 | 15369 |
| 78 and 192 | 2496 |
| 167 and 69 | 11523 |