Least Common Multiple (LCM) of 188 and 74
The least common multiple (LCM) of 188 and 74 is 6956.
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 74?
First, calculate the GCD of 188 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 74 = 2 remainder 40 |
| 2 | 74 ÷ 40 = 1 remainder 34 |
| 3 | 40 ÷ 34 = 1 remainder 6 |
| 4 | 34 ÷ 6 = 5 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 49 | 7791 |
| 112 and 111 | 12432 |
| 176 and 89 | 15664 |
| 187 and 154 | 2618 |
| 162 and 106 | 8586 |