Least Common Multiple (LCM) of 52 and 130
The least common multiple (LCM) of 52 and 130 is 260.
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 52 and 130?
First, calculate the GCD of 52 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 130 = 0 remainder 52 |
| 2 | 130 ÷ 52 = 2 remainder 26 |
| 3 | 52 ÷ 26 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 28 | 476 |
| 89 and 75 | 6675 |
| 90 and 76 | 3420 |
| 100 and 161 | 16100 |
| 69 and 82 | 5658 |