Least Common Multiple (LCM) of 107 and 55
The least common multiple (LCM) of 107 and 55 is 5885.
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 55?
First, calculate the GCD of 107 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 55 = 1 remainder 52 |
| 2 | 55 ÷ 52 = 1 remainder 3 |
| 3 | 52 ÷ 3 = 17 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 32 | 416 |
| 172 and 176 | 7568 |
| 170 and 59 | 10030 |
| 122 and 119 | 14518 |
| 93 and 26 | 2418 |