Least Common Multiple (LCM) of 56 and 124
The least common multiple (LCM) of 56 and 124 is 1736.
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 124?
First, calculate the GCD of 56 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 124 = 0 remainder 56 |
| 2 | 124 ÷ 56 = 2 remainder 12 |
| 3 | 56 ÷ 12 = 4 remainder 8 |
| 4 | 12 ÷ 8 = 1 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 30 | 1110 |
| 81 and 94 | 7614 |
| 110 and 183 | 20130 |
| 136 and 58 | 3944 |
| 131 and 142 | 18602 |