Least Common Multiple (LCM) of 154 and 56
The least common multiple (LCM) of 154 and 56 is 616.
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 56?
First, calculate the GCD of 154 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 56 = 2 remainder 42 |
| 2 | 56 ÷ 42 = 1 remainder 14 |
| 3 | 42 ÷ 14 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 19 | 3135 |
| 108 and 122 | 6588 |
| 133 and 36 | 4788 |
| 85 and 125 | 2125 |
| 200 and 115 | 4600 |