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 |
|---|---|
| 154 and 26 | 2002 |
| 83 and 159 | 13197 |
| 86 and 183 | 15738 |
| 108 and 33 | 1188 |
| 162 and 165 | 8910 |