Least Common Multiple (LCM) of 158 and 196
The least common multiple (LCM) of 158 and 196 is 15484.
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 158 and 196?
First, calculate the GCD of 158 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 196 = 0 remainder 158 |
| 2 | 196 ÷ 158 = 1 remainder 38 |
| 3 | 158 ÷ 38 = 4 remainder 6 |
| 4 | 38 ÷ 6 = 6 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 194 | 6402 |
| 32 and 125 | 4000 |
| 78 and 132 | 1716 |
| 118 and 16 | 944 |
| 41 and 182 | 7462 |