Least Common Multiple (LCM) of 130 and 35
The least common multiple (LCM) of 130 and 35 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 130 and 35?
First, calculate the GCD of 130 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 35 = 3 remainder 25 |
| 2 | 35 ÷ 25 = 1 remainder 10 |
| 3 | 25 ÷ 10 = 2 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 63 | 1260 |
| 35 and 68 | 2380 |
| 98 and 139 | 13622 |
| 104 and 184 | 2392 |
| 111 and 33 | 1221 |