Least Common Multiple (LCM) of 130 and 150
The least common multiple (LCM) of 130 and 150 is 1950.
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 150?
First, calculate the GCD of 130 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 150 = 0 remainder 130 |
| 2 | 150 ÷ 130 = 1 remainder 20 |
| 3 | 130 ÷ 20 = 6 remainder 10 |
| 4 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 120 | 840 |
| 31 and 132 | 4092 |
| 65 and 66 | 4290 |
| 159 and 97 | 15423 |
| 68 and 36 | 612 |