Least Common Multiple (LCM) of 760 and 2
The least common multiple (LCM) of 760 and 2 is 760.
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 760 and 2?
First, calculate the GCD of 760 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 760 ÷ 2 = 380 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 154 | 1386 |
| 179 and 92 | 16468 |
| 185 and 40 | 1480 |
| 16 and 23 | 368 |
| 17 and 41 | 697 |