Least Common Multiple (LCM) of 188 and 98
The least common multiple (LCM) of 188 and 98 is 9212.
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 188 and 98?
First, calculate the GCD of 188 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 98 = 1 remainder 90 |
| 2 | 98 ÷ 90 = 1 remainder 8 |
| 3 | 90 ÷ 8 = 11 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 144 | 1008 |
| 107 and 156 | 16692 |
| 27 and 118 | 3186 |
| 171 and 49 | 8379 |
| 15 and 164 | 2460 |