Least Common Multiple (LCM) of 155 and 56
The least common multiple (LCM) of 155 and 56 is 8680.
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 155 and 56?
First, calculate the GCD of 155 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 56 = 2 remainder 43 |
| 2 | 56 ÷ 43 = 1 remainder 13 |
| 3 | 43 ÷ 13 = 3 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 144 | 1584 |
| 176 and 105 | 18480 |
| 131 and 12 | 1572 |
| 186 and 98 | 9114 |
| 114 and 56 | 3192 |