Least Common Multiple (LCM) of 168 and 119
The least common multiple (LCM) of 168 and 119 is 2856.
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 119?
First, calculate the GCD of 168 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 119 = 1 remainder 49 |
| 2 | 119 ÷ 49 = 2 remainder 21 |
| 3 | 49 ÷ 21 = 2 remainder 7 |
| 4 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 66 | 10626 |
| 123 and 168 | 6888 |
| 56 and 121 | 6776 |
| 77 and 88 | 616 |
| 139 and 88 | 12232 |