Least Common Multiple (LCM) of 188 and 61
The least common multiple (LCM) of 188 and 61 is 11468.
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 61?
First, calculate the GCD of 188 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 61 = 3 remainder 5 |
| 2 | 61 ÷ 5 = 12 remainder 1 |
| 3 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 71 | 8875 |
| 123 and 197 | 24231 |
| 146 and 112 | 8176 |
| 166 and 163 | 27058 |
| 69 and 199 | 13731 |