Least Common Multiple (LCM) of 168 and 66
The least common multiple (LCM) of 168 and 66 is 1848.
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 66?
First, calculate the GCD of 168 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 66 = 2 remainder 36 |
| 2 | 66 ÷ 36 = 1 remainder 30 |
| 3 | 36 ÷ 30 = 1 remainder 6 |
| 4 | 30 ÷ 6 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 102 | 2856 |
| 43 and 39 | 1677 |
| 112 and 156 | 4368 |
| 121 and 180 | 21780 |
| 90 and 167 | 15030 |