Least Common Multiple (LCM) of 146 and 102
The least common multiple (LCM) of 146 and 102 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 146 and 102?
First, calculate the GCD of 146 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 102 = 1 remainder 44 |
| 2 | 102 ÷ 44 = 2 remainder 14 |
| 3 | 44 ÷ 14 = 3 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 29 | 3306 |
| 123 and 32 | 3936 |
| 45 and 81 | 405 |
| 153 and 182 | 27846 |
| 84 and 62 | 2604 |