Least Common Multiple (LCM) of 182 and 62
The least common multiple (LCM) of 182 and 62 is 5642.
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 62?
First, calculate the GCD of 182 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 62 = 2 remainder 58 |
| 2 | 62 ÷ 58 = 1 remainder 4 |
| 3 | 58 ÷ 4 = 14 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 11 | 1617 |
| 16 and 98 | 784 |
| 157 and 199 | 31243 |
| 197 and 152 | 29944 |
| 78 and 67 | 5226 |