Least Common Multiple (LCM) of 106 and 62
The least common multiple (LCM) of 106 and 62 is 3286.
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 106 and 62?
First, calculate the GCD of 106 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 62 = 1 remainder 44 |
| 2 | 62 ÷ 44 = 1 remainder 18 |
| 3 | 44 ÷ 18 = 2 remainder 8 |
| 4 | 18 ÷ 8 = 2 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 168 | 12264 |
| 128 and 178 | 11392 |
| 169 and 190 | 32110 |
| 164 and 138 | 11316 |
| 20 and 24 | 120 |