Least Common Multiple (LCM) of 182 and 117
The least common multiple (LCM) of 182 and 117 is 1638.
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 182 and 117?
First, calculate the GCD of 182 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 117 = 1 remainder 65 |
| 2 | 117 ÷ 65 = 1 remainder 52 |
| 3 | 65 ÷ 52 = 1 remainder 13 |
| 4 | 52 ÷ 13 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 175 | 14525 |
| 180 and 126 | 1260 |
| 99 and 122 | 12078 |
| 41 and 88 | 3608 |
| 107 and 91 | 9737 |