Least Common Multiple (LCM) of 124 and 43
The least common multiple (LCM) of 124 and 43 is 5332.
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 43?
First, calculate the GCD of 124 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 43 = 2 remainder 38 |
| 2 | 43 ÷ 38 = 1 remainder 5 |
| 3 | 38 ÷ 5 = 7 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 64 | 4800 |
| 99 and 180 | 1980 |
| 104 and 28 | 728 |
| 37 and 91 | 3367 |
| 188 and 175 | 32900 |