Least Common Multiple (LCM) of 168 and 88
The least common multiple (LCM) of 168 and 88 is 1848.
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 88?
First, calculate the GCD of 168 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 88 = 1 remainder 80 |
| 2 | 88 ÷ 80 = 1 remainder 8 |
| 3 | 80 ÷ 8 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 121 | 15246 |
| 179 and 15 | 2685 |
| 142 and 155 | 22010 |
| 143 and 160 | 22880 |
| 80 and 125 | 2000 |