Least Common Multiple (LCM) of 124 and 33
The least common multiple (LCM) of 124 and 33 is 4092.
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 33?
First, calculate the GCD of 124 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 33 = 3 remainder 25 |
| 2 | 33 ÷ 25 = 1 remainder 8 |
| 3 | 25 ÷ 8 = 3 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 94 | 9024 |
| 84 and 111 | 3108 |
| 73 and 21 | 1533 |
| 151 and 113 | 17063 |
| 200 and 123 | 24600 |