Least Common Multiple (LCM) of 918 and 67
The least common multiple (LCM) of 918 and 67 is 61506.
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 918 and 67?
First, calculate the GCD of 918 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 918 ÷ 67 = 13 remainder 47 |
| 2 | 67 ÷ 47 = 1 remainder 20 |
| 3 | 47 ÷ 20 = 2 remainder 7 |
| 4 | 20 ÷ 7 = 2 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 17 | 3026 |
| 172 and 119 | 20468 |
| 137 and 73 | 10001 |
| 166 and 136 | 11288 |
| 101 and 184 | 18584 |