Least Common Multiple (LCM) of 5 and 2
The least common multiple (LCM) of 5 and 2 is 10.
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 5 and 2?
First, calculate the GCD of 5 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 5 ÷ 2 = 2 remainder 1 |
| 2 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 171 | 19323 |
| 106 and 127 | 13462 |
| 144 and 97 | 13968 |
| 122 and 63 | 7686 |
| 172 and 74 | 6364 |