Least Common Multiple (LCM) of 84 and 66
The least common multiple (LCM) of 84 and 66 is 924.
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 66?
First, calculate the GCD of 84 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 66 = 1 remainder 18 |
| 2 | 66 ÷ 18 = 3 remainder 12 |
| 3 | 18 ÷ 12 = 1 remainder 6 |
| 4 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 123 | 7626 |
| 10 and 199 | 1990 |
| 166 and 84 | 6972 |
| 134 and 192 | 12864 |
| 117 and 87 | 3393 |