Least Common Multiple (LCM) of 154 and 160
The least common multiple (LCM) of 154 and 160 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 154 and 160?
First, calculate the GCD of 154 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 160 = 0 remainder 154 |
| 2 | 160 ÷ 154 = 1 remainder 6 |
| 3 | 154 ÷ 6 = 25 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 98 | 1274 |
| 172 and 100 | 4300 |
| 49 and 19 | 931 |
| 53 and 50 | 2650 |
| 168 and 21 | 168 |