Least Common Multiple (LCM) of 196 and 88
The least common multiple (LCM) of 196 and 88 is 4312.
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 88?
First, calculate the GCD of 196 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 88 = 2 remainder 20 |
| 2 | 88 ÷ 20 = 4 remainder 8 |
| 3 | 20 ÷ 8 = 2 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 143 | 28171 |
| 27 and 177 | 1593 |
| 112 and 101 | 11312 |
| 121 and 67 | 8107 |
| 144 and 193 | 27792 |