Least Common Multiple (LCM) of 168 and 36
The least common multiple (LCM) of 168 and 36 is 504.
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 36?
First, calculate the GCD of 168 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 36 = 4 remainder 24 |
| 2 | 36 ÷ 24 = 1 remainder 12 |
| 3 | 24 ÷ 12 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 38 | 2128 |
| 16 and 35 | 560 |
| 19 and 178 | 3382 |
| 106 and 180 | 9540 |
| 125 and 43 | 5375 |