Least Common Multiple (LCM) of 68 and 162
The least common multiple (LCM) of 68 and 162 is 5508.
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 68 and 162?
First, calculate the GCD of 68 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 162 = 0 remainder 68 |
| 2 | 162 ÷ 68 = 2 remainder 26 |
| 3 | 68 ÷ 26 = 2 remainder 16 |
| 4 | 26 ÷ 16 = 1 remainder 10 |
| 5 | 16 ÷ 10 = 1 remainder 6 |
| 6 | 10 ÷ 6 = 1 remainder 4 |
| 7 | 6 ÷ 4 = 1 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 111 | 20091 |
| 121 and 123 | 14883 |
| 111 and 84 | 3108 |
| 185 and 36 | 6660 |
| 151 and 40 | 6040 |