Least Common Multiple (LCM) of 101 and 182
The least common multiple (LCM) of 101 and 182 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 101 and 182?
First, calculate the GCD of 101 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 182 = 0 remainder 101 |
| 2 | 182 ÷ 101 = 1 remainder 81 |
| 3 | 101 ÷ 81 = 1 remainder 20 |
| 4 | 81 ÷ 20 = 4 remainder 1 |
| 5 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 39 | 5460 |
| 180 and 73 | 13140 |
| 109 and 138 | 15042 |
| 37 and 187 | 6919 |
| 156 and 29 | 4524 |