Least Common Multiple (LCM) of 180 and 26
The least common multiple (LCM) of 180 and 26 is 2340.
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 180 and 26?
First, calculate the GCD of 180 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 26 = 6 remainder 24 |
| 2 | 26 ÷ 24 = 1 remainder 2 |
| 3 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 156 | 7332 |
| 101 and 165 | 16665 |
| 134 and 14 | 938 |
| 145 and 77 | 11165 |
| 172 and 29 | 4988 |