Least Common Multiple (LCM) of 146 and 74
The least common multiple (LCM) of 146 and 74 is 5402.
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 74?
First, calculate the GCD of 146 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 74 = 1 remainder 72 |
| 2 | 74 ÷ 72 = 1 remainder 2 |
| 3 | 72 ÷ 2 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 89 | 1424 |
| 182 and 22 | 2002 |
| 150 and 173 | 25950 |
| 113 and 166 | 18758 |
| 84 and 117 | 3276 |