Least Common Multiple (LCM) of 188 and 146
The least common multiple (LCM) of 188 and 146 is 13724.
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 146?
First, calculate the GCD of 188 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 146 = 1 remainder 42 |
| 2 | 146 ÷ 42 = 3 remainder 20 |
| 3 | 42 ÷ 20 = 2 remainder 2 |
| 4 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 117 | 5733 |
| 15 and 49 | 735 |
| 164 and 43 | 7052 |
| 61 and 44 | 2684 |
| 72 and 14 | 504 |