Least Common Multiple (LCM) of 147 and 68
The least common multiple (LCM) of 147 and 68 is 9996.
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 147 and 68?
First, calculate the GCD of 147 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 68 = 2 remainder 11 |
| 2 | 68 ÷ 11 = 6 remainder 2 |
| 3 | 11 ÷ 2 = 5 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 189 | 34965 |
| 110 and 70 | 770 |
| 177 and 70 | 12390 |
| 141 and 157 | 22137 |
| 167 and 10 | 1670 |