Least Common Multiple (LCM) of 46 and 92
The least common multiple (LCM) of 46 and 92 is 92.
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 92?
First, calculate the GCD of 46 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 92 = 0 remainder 46 |
| 2 | 92 ÷ 46 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 59 | 6608 |
| 162 and 80 | 6480 |
| 62 and 114 | 3534 |
| 136 and 146 | 9928 |
| 146 and 107 | 15622 |