Least Common Multiple (LCM) of 42 and 130
The least common multiple (LCM) of 42 and 130 is 2730.
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 42 and 130?
First, calculate the GCD of 42 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 42 ÷ 130 = 0 remainder 42 |
| 2 | 130 ÷ 42 = 3 remainder 4 |
| 3 | 42 ÷ 4 = 10 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 193 | 24511 |
| 117 and 31 | 3627 |
| 152 and 15 | 2280 |
| 173 and 167 | 28891 |
| 84 and 36 | 252 |