Least Common Multiple (LCM) of 168 and 124
The least common multiple (LCM) of 168 and 124 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 168 and 124?
First, calculate the GCD of 168 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 124 = 1 remainder 44 |
| 2 | 124 ÷ 44 = 2 remainder 36 |
| 3 | 44 ÷ 36 = 1 remainder 8 |
| 4 | 36 ÷ 8 = 4 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 32 | 1696 |
| 154 and 12 | 924 |
| 75 and 161 | 12075 |
| 101 and 58 | 5858 |
| 27 and 129 | 1161 |