Least Common Multiple (LCM) of 180 and 158
The least common multiple (LCM) of 180 and 158 is 14220.
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 158?
First, calculate the GCD of 180 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 158 = 1 remainder 22 |
| 2 | 158 ÷ 22 = 7 remainder 4 |
| 3 | 22 ÷ 4 = 5 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 104 | 20488 |
| 55 and 156 | 8580 |
| 120 and 111 | 4440 |
| 200 and 18 | 1800 |
| 194 and 35 | 6790 |