Least Common Multiple (LCM) of 154 and 130
The least common multiple (LCM) of 154 and 130 is 10010.
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 130?
First, calculate the GCD of 154 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 130 = 1 remainder 24 |
| 2 | 130 ÷ 24 = 5 remainder 10 |
| 3 | 24 ÷ 10 = 2 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 162 | 13932 |
| 198 and 165 | 990 |
| 195 and 83 | 16185 |
| 117 and 66 | 2574 |
| 115 and 31 | 3565 |