Least Common Multiple (LCM) of 158 and 80
The least common multiple (LCM) of 158 and 80 is 6320.
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 158 and 80?
First, calculate the GCD of 158 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 80 = 1 remainder 78 |
| 2 | 80 ÷ 78 = 1 remainder 2 |
| 3 | 78 ÷ 2 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 37 | 7141 |
| 145 and 15 | 435 |
| 33 and 116 | 3828 |
| 74 and 200 | 7400 |
| 138 and 129 | 5934 |