Least Common Multiple (LCM) of 62 and 163
The least common multiple (LCM) of 62 and 163 is 10106.
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 62 and 163?
First, calculate the GCD of 62 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 163 = 0 remainder 62 |
| 2 | 163 ÷ 62 = 2 remainder 39 |
| 3 | 62 ÷ 39 = 1 remainder 23 |
| 4 | 39 ÷ 23 = 1 remainder 16 |
| 5 | 23 ÷ 16 = 1 remainder 7 |
| 6 | 16 ÷ 7 = 2 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 76 | 5396 |
| 29 and 137 | 3973 |
| 21 and 94 | 1974 |
| 150 and 21 | 1050 |
| 103 and 13 | 1339 |