Least Common Multiple (LCM) of 76 and 68
The least common multiple (LCM) of 76 and 68 is 1292.
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 76 and 68?
First, calculate the GCD of 76 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 68 = 1 remainder 8 |
| 2 | 68 ÷ 8 = 8 remainder 4 |
| 3 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 129 | 18060 |
| 104 and 184 | 2392 |
| 151 and 20 | 3020 |
| 170 and 198 | 16830 |
| 174 and 31 | 5394 |