Least Common Multiple (LCM) of 130 and 152
The least common multiple (LCM) of 130 and 152 is 9880.
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 130 and 152?
First, calculate the GCD of 130 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 152 = 0 remainder 130 |
| 2 | 152 ÷ 130 = 1 remainder 22 |
| 3 | 130 ÷ 22 = 5 remainder 20 |
| 4 | 22 ÷ 20 = 1 remainder 2 |
| 5 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 172 | 3956 |
| 129 and 163 | 21027 |
| 199 and 75 | 14925 |
| 175 and 164 | 28700 |
| 183 and 86 | 15738 |