Least Common Multiple (LCM) of 168 and 108
The least common multiple (LCM) of 168 and 108 is 1512.
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 108?
First, calculate the GCD of 168 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 108 = 1 remainder 60 |
| 2 | 108 ÷ 60 = 1 remainder 48 |
| 3 | 60 ÷ 48 = 1 remainder 12 |
| 4 | 48 ÷ 12 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 130 | 7930 |
| 69 and 122 | 8418 |
| 131 and 118 | 15458 |
| 128 and 170 | 10880 |
| 188 and 94 | 188 |