Least Common Multiple (LCM) of 154 and 182
The least common multiple (LCM) of 154 and 182 is 2002.
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 182?
First, calculate the GCD of 154 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 182 = 0 remainder 154 |
| 2 | 182 ÷ 154 = 1 remainder 28 |
| 3 | 154 ÷ 28 = 5 remainder 14 |
| 4 | 28 ÷ 14 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 72 | 4248 |
| 121 and 19 | 2299 |
| 125 and 97 | 12125 |
| 82 and 18 | 738 |
| 128 and 130 | 8320 |