Least Common Multiple (LCM) of 56 and 154
The least common multiple (LCM) of 56 and 154 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 56 and 154?
First, calculate the GCD of 56 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 154 = 0 remainder 56 |
| 2 | 154 ÷ 56 = 2 remainder 42 |
| 3 | 56 ÷ 42 = 1 remainder 14 |
| 4 | 42 ÷ 14 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 57 | 1254 |
| 138 and 69 | 138 |
| 104 and 105 | 10920 |
| 105 and 50 | 1050 |
| 193 and 38 | 7334 |