Least Common Multiple (LCM) of 107 and 56
The least common multiple (LCM) of 107 and 56 is 5992.
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 107 and 56?
First, calculate the GCD of 107 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 56 = 1 remainder 51 |
| 2 | 56 ÷ 51 = 1 remainder 5 |
| 3 | 51 ÷ 5 = 10 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 60 | 1320 |
| 162 and 171 | 3078 |
| 66 and 120 | 1320 |
| 153 and 125 | 19125 |
| 186 and 29 | 5394 |