Least Common Multiple (LCM) of 46 and 43
The least common multiple (LCM) of 46 and 43 is 1978.
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 46 and 43?
First, calculate the GCD of 46 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 43 = 1 remainder 3 |
| 2 | 43 ÷ 3 = 14 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 127 | 9398 |
| 127 and 153 | 19431 |
| 159 and 32 | 5088 |
| 162 and 65 | 10530 |
| 100 and 129 | 12900 |