Least Common Multiple (LCM) of 112 and 168
The least common multiple (LCM) of 112 and 168 is 336.
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 112 and 168?
First, calculate the GCD of 112 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 168 = 0 remainder 112 |
| 2 | 168 ÷ 112 = 1 remainder 56 |
| 3 | 112 ÷ 56 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 181 | 21539 |
| 150 and 198 | 4950 |
| 150 and 119 | 17850 |
| 36 and 14 | 252 |
| 22 and 108 | 1188 |