Least Common Multiple (LCM) of 158 and 160
The least common multiple (LCM) of 158 and 160 is 12640.
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 160?
First, calculate the GCD of 158 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 160 = 0 remainder 158 |
| 2 | 160 ÷ 158 = 1 remainder 2 |
| 3 | 158 ÷ 2 = 79 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 200 | 11800 |
| 179 and 124 | 22196 |
| 65 and 164 | 10660 |
| 70 and 186 | 6510 |
| 189 and 96 | 6048 |