Least Common Multiple (LCM) of 102 and 146
The least common multiple (LCM) of 102 and 146 is 7446.
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 146?
First, calculate the GCD of 102 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 146 = 0 remainder 102 |
| 2 | 146 ÷ 102 = 1 remainder 44 |
| 3 | 102 ÷ 44 = 2 remainder 14 |
| 4 | 44 ÷ 14 = 3 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 106 | 13250 |
| 44 and 184 | 2024 |
| 184 and 12 | 552 |
| 188 and 75 | 14100 |
| 189 and 20 | 3780 |