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 |
|---|---|
| 131 and 73 | 9563 |
| 50 and 79 | 3950 |
| 185 and 65 | 2405 |
| 146 and 166 | 12118 |
| 128 and 195 | 24960 |