Least Common Multiple (LCM) of 124 and 168
The least common multiple (LCM) of 124 and 168 is 5208.
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 168?
First, calculate the GCD of 124 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 168 = 0 remainder 124 |
| 2 | 168 ÷ 124 = 1 remainder 44 |
| 3 | 124 ÷ 44 = 2 remainder 36 |
| 4 | 44 ÷ 36 = 1 remainder 8 |
| 5 | 36 ÷ 8 = 4 remainder 4 |
| 6 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 150 | 300 |
| 66 and 13 | 858 |
| 33 and 112 | 3696 |
| 35 and 51 | 1785 |
| 87 and 59 | 5133 |