Least Common Multiple (LCM) of 124 and 167
The least common multiple (LCM) of 124 and 167 is 20708.
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 124 and 167?
First, calculate the GCD of 124 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 167 = 0 remainder 124 |
| 2 | 167 ÷ 124 = 1 remainder 43 |
| 3 | 124 ÷ 43 = 2 remainder 38 |
| 4 | 43 ÷ 38 = 1 remainder 5 |
| 5 | 38 ÷ 5 = 7 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 87 | 609 |
| 69 and 177 | 4071 |
| 186 and 34 | 3162 |
| 183 and 172 | 31476 |
| 67 and 104 | 6968 |