Least Common Multiple (LCM) of 76 and 186
The least common multiple (LCM) of 76 and 186 is 7068.
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 186?
First, calculate the GCD of 76 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 186 = 0 remainder 76 |
| 2 | 186 ÷ 76 = 2 remainder 34 |
| 3 | 76 ÷ 34 = 2 remainder 8 |
| 4 | 34 ÷ 8 = 4 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 40 | 360 |
| 129 and 122 | 15738 |
| 78 and 195 | 390 |
| 72 and 44 | 792 |
| 135 and 105 | 945 |