Least Common Multiple (LCM) of 146 and 113
The least common multiple (LCM) of 146 and 113 is 16498.
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 113?
First, calculate the GCD of 146 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 113 = 1 remainder 33 |
| 2 | 113 ÷ 33 = 3 remainder 14 |
| 3 | 33 ÷ 14 = 2 remainder 5 |
| 4 | 14 ÷ 5 = 2 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 90 | 1530 |
| 102 and 130 | 6630 |
| 58 and 16 | 464 |
| 136 and 197 | 26792 |
| 90 and 28 | 1260 |