Least Common Multiple (LCM) of 124 and 27
The least common multiple (LCM) of 124 and 27 is 3348.
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 27?
First, calculate the GCD of 124 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 27 = 4 remainder 16 |
| 2 | 27 ÷ 16 = 1 remainder 11 |
| 3 | 16 ÷ 11 = 1 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 24 | 1896 |
| 191 and 112 | 21392 |
| 125 and 19 | 2375 |
| 135 and 31 | 4185 |
| 200 and 75 | 600 |