Least Common Multiple (LCM) of 107 and 46
The least common multiple (LCM) of 107 and 46 is 4922.
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 46?
First, calculate the GCD of 107 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 46 = 2 remainder 15 |
| 2 | 46 ÷ 15 = 3 remainder 1 |
| 3 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 30 | 300 |
| 144 and 167 | 24048 |
| 91 and 24 | 2184 |
| 103 and 165 | 16995 |
| 31 and 107 | 3317 |