Least Common Multiple (LCM) of 172 and 130
The least common multiple (LCM) of 172 and 130 is 11180.
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 172 and 130?
First, calculate the GCD of 172 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 130 = 1 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 |
|---|---|
| 122 and 124 | 7564 |
| 133 and 121 | 16093 |
| 153 and 87 | 4437 |
| 84 and 196 | 588 |
| 32 and 194 | 3104 |