Least Common Multiple (LCM) of 68 and 147
The least common multiple (LCM) of 68 and 147 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 68 and 147?
First, calculate the GCD of 68 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 147 = 0 remainder 68 |
| 2 | 147 ÷ 68 = 2 remainder 11 |
| 3 | 68 ÷ 11 = 6 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 32 | 1248 |
| 20 and 111 | 2220 |
| 163 and 60 | 9780 |
| 163 and 59 | 9617 |
| 93 and 73 | 6789 |