Least Common Multiple (LCM) of 84 and 168
The least common multiple (LCM) of 84 and 168 is 168.
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 84 and 168?
First, calculate the GCD of 84 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 168 = 0 remainder 84 |
| 2 | 168 ÷ 84 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 10 | 1290 |
| 109 and 48 | 5232 |
| 187 and 67 | 12529 |
| 156 and 26 | 156 |
| 13 and 139 | 1807 |