Least Common Multiple (LCM) of 130 and 169
The least common multiple (LCM) of 130 and 169 is 1690.
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 169?
First, calculate the GCD of 130 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 169 = 0 remainder 130 |
| 2 | 169 ÷ 130 = 1 remainder 39 |
| 3 | 130 ÷ 39 = 3 remainder 13 |
| 4 | 39 ÷ 13 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 71 | 12638 |
| 36 and 177 | 2124 |
| 141 and 199 | 28059 |
| 144 and 130 | 9360 |
| 180 and 95 | 3420 |