Least Common Multiple (LCM) of 117 and 171
The least common multiple (LCM) of 117 and 171 is 2223.
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 117 and 171?
First, calculate the GCD of 117 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 171 = 0 remainder 117 |
| 2 | 171 ÷ 117 = 1 remainder 54 |
| 3 | 117 ÷ 54 = 2 remainder 9 |
| 4 | 54 ÷ 9 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 112 | 14672 |
| 101 and 32 | 3232 |
| 181 and 130 | 23530 |
| 81 and 184 | 14904 |
| 139 and 46 | 6394 |