Least Common Multiple (LCM) of 168 and 91
The least common multiple (LCM) of 168 and 91 is 2184.
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 91?
First, calculate the GCD of 168 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 91 = 1 remainder 77 |
| 2 | 91 ÷ 77 = 1 remainder 14 |
| 3 | 77 ÷ 14 = 5 remainder 7 |
| 4 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 109 | 11445 |
| 153 and 105 | 5355 |
| 195 and 164 | 31980 |
| 163 and 20 | 3260 |
| 27 and 80 | 2160 |