Least Common Multiple (LCM) of 156 and 56
The least common multiple (LCM) of 156 and 56 is 2184.
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 156 and 56?
First, calculate the GCD of 156 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 56 = 2 remainder 44 |
| 2 | 56 ÷ 44 = 1 remainder 12 |
| 3 | 44 ÷ 12 = 3 remainder 8 |
| 4 | 12 ÷ 8 = 1 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 116 | 4292 |
| 159 and 26 | 4134 |
| 200 and 182 | 18200 |
| 14 and 144 | 1008 |
| 118 and 45 | 5310 |