Least Common Multiple (LCM) of 154 and 179
The least common multiple (LCM) of 154 and 179 is 27566.
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 179?
First, calculate the GCD of 154 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 179 = 0 remainder 154 |
| 2 | 179 ÷ 154 = 1 remainder 25 |
| 3 | 154 ÷ 25 = 6 remainder 4 |
| 4 | 25 ÷ 4 = 6 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 192 | 3264 |
| 78 and 123 | 3198 |
| 68 and 187 | 748 |
| 200 and 19 | 3800 |
| 24 and 75 | 600 |