Least Common Multiple (LCM) of 160 and 154
The least common multiple (LCM) of 160 and 154 is 12320.
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 154?
First, calculate the GCD of 160 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 154 = 1 remainder 6 |
| 2 | 154 ÷ 6 = 25 remainder 4 |
| 3 | 6 ÷ 4 = 1 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 101 | 8080 |
| 199 and 148 | 29452 |
| 14 and 100 | 700 |
| 106 and 23 | 2438 |
| 155 and 108 | 16740 |