Least Common Multiple (LCM) of 102 and 41
The least common multiple (LCM) of 102 and 41 is 4182.
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 102 and 41?
First, calculate the GCD of 102 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 41 = 2 remainder 20 |
| 2 | 41 ÷ 20 = 2 remainder 1 |
| 3 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 115 | 7130 |
| 76 and 30 | 1140 |
| 155 and 107 | 16585 |
| 106 and 37 | 3922 |
| 135 and 31 | 4185 |