Least Common Multiple (LCM) of 107 and 49
The least common multiple (LCM) of 107 and 49 is 5243.
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 49?
First, calculate the GCD of 107 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 49 = 2 remainder 9 |
| 2 | 49 ÷ 9 = 5 remainder 4 |
| 3 | 9 ÷ 4 = 2 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 22 | 902 |
| 186 and 119 | 22134 |
| 156 and 181 | 28236 |
| 175 and 103 | 18025 |
| 199 and 155 | 30845 |