Least Common Multiple (LCM) of 182 and 101
The least common multiple (LCM) of 182 and 101 is 18382.
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 101?
First, calculate the GCD of 182 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 101 = 1 remainder 81 |
| 2 | 101 ÷ 81 = 1 remainder 20 |
| 3 | 81 ÷ 20 = 4 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 180 | 14220 |
| 85 and 157 | 13345 |
| 25 and 147 | 3675 |
| 44 and 108 | 1188 |
| 118 and 169 | 19942 |