Least Common Multiple (LCM) of 182 and 21
The least common multiple (LCM) of 182 and 21 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 182 and 21?
First, calculate the GCD of 182 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 21 = 8 remainder 14 |
| 2 | 21 ÷ 14 = 1 remainder 7 |
| 3 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 199 | 27263 |
| 121 and 149 | 18029 |
| 165 and 153 | 8415 |
| 41 and 69 | 2829 |
| 96 and 83 | 7968 |