Least Common Multiple (LCM) of 160 and 158
The least common multiple (LCM) of 160 and 158 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 160 and 158?
First, calculate the GCD of 160 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 158 = 1 remainder 2 |
| 2 | 158 ÷ 2 = 79 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 172 | 32164 |
| 18 and 178 | 1602 |
| 132 and 41 | 5412 |
| 175 and 156 | 27300 |
| 154 and 158 | 12166 |