Least Common Multiple (LCM) of 180 and 149
The least common multiple (LCM) of 180 and 149 is 26820.
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 149?
First, calculate the GCD of 180 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 149 = 1 remainder 31 |
| 2 | 149 ÷ 31 = 4 remainder 25 |
| 3 | 31 ÷ 25 = 1 remainder 6 |
| 4 | 25 ÷ 6 = 4 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 73 | 2482 |
| 105 and 102 | 3570 |
| 163 and 63 | 10269 |
| 169 and 26 | 338 |
| 168 and 92 | 3864 |