Least Common Multiple (LCM) of 124 and 188
The least common multiple (LCM) of 124 and 188 is 5828.
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 124 and 188?
First, calculate the GCD of 124 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 188 = 0 remainder 124 |
| 2 | 188 ÷ 124 = 1 remainder 64 |
| 3 | 124 ÷ 64 = 1 remainder 60 |
| 4 | 64 ÷ 60 = 1 remainder 4 |
| 5 | 60 ÷ 4 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 68 | 1020 |
| 198 and 129 | 8514 |
| 176 and 178 | 15664 |
| 181 and 47 | 8507 |
| 74 and 31 | 2294 |