Least Common Multiple (LCM) of 168 and 62
The least common multiple (LCM) of 168 and 62 is 5208.
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 62?
First, calculate the GCD of 168 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 62 = 2 remainder 44 |
| 2 | 62 ÷ 44 = 1 remainder 18 |
| 3 | 44 ÷ 18 = 2 remainder 8 |
| 4 | 18 ÷ 8 = 2 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 16 | 2288 |
| 155 and 114 | 17670 |
| 195 and 78 | 390 |
| 165 and 55 | 165 |
| 179 and 108 | 19332 |