Least Common Multiple (LCM) of 35 and 130
The least common multiple (LCM) of 35 and 130 is 910.
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 35 and 130?
First, calculate the GCD of 35 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 130 = 0 remainder 35 |
| 2 | 130 ÷ 35 = 3 remainder 25 |
| 3 | 35 ÷ 25 = 1 remainder 10 |
| 4 | 25 ÷ 10 = 2 remainder 5 |
| 5 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 143 | 2574 |
| 195 and 61 | 11895 |
| 44 and 151 | 6644 |
| 55 and 16 | 880 |
| 182 and 136 | 12376 |