Least Common Multiple (LCM) of 196 and 92
The least common multiple (LCM) of 196 and 92 is 4508.
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 196 and 92?
First, calculate the GCD of 196 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 92 = 2 remainder 12 |
| 2 | 92 ÷ 12 = 7 remainder 8 |
| 3 | 12 ÷ 8 = 1 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 81 | 12231 |
| 158 and 158 | 158 |
| 143 and 108 | 15444 |
| 155 and 126 | 19530 |
| 39 and 70 | 2730 |