Least Common Multiple (LCM) of 21 and 182
The least common multiple (LCM) of 21 and 182 is 546.
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 21 and 182?
First, calculate the GCD of 21 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 21 ÷ 182 = 0 remainder 21 |
| 2 | 182 ÷ 21 = 8 remainder 14 |
| 3 | 21 ÷ 14 = 1 remainder 7 |
| 4 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 42 | 8106 |
| 27 and 22 | 594 |
| 15 and 43 | 645 |
| 176 and 160 | 1760 |
| 103 and 28 | 2884 |