Least Common Multiple (LCM) of 108 and 62
The least common multiple (LCM) of 108 and 62 is 3348.
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 108 and 62?
First, calculate the GCD of 108 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 62 = 1 remainder 46 |
| 2 | 62 ÷ 46 = 1 remainder 16 |
| 3 | 46 ÷ 16 = 2 remainder 14 |
| 4 | 16 ÷ 14 = 1 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 73 | 13067 |
| 157 and 182 | 28574 |
| 152 and 138 | 10488 |
| 65 and 159 | 10335 |
| 169 and 17 | 2873 |