Least Common Multiple (LCM) of 119 and 168
The least common multiple (LCM) of 119 and 168 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 119 and 168?
First, calculate the GCD of 119 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 168 = 0 remainder 119 |
| 2 | 168 ÷ 119 = 1 remainder 49 |
| 3 | 119 ÷ 49 = 2 remainder 21 |
| 4 | 49 ÷ 21 = 2 remainder 7 |
| 5 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 125 | 18625 |
| 200 and 115 | 4600 |
| 104 and 77 | 8008 |
| 111 and 84 | 3108 |
| 112 and 102 | 5712 |