Least Common Multiple (LCM) of 124 and 51
The least common multiple (LCM) of 124 and 51 is 6324.
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 51?
First, calculate the GCD of 124 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 51 = 2 remainder 22 |
| 2 | 51 ÷ 22 = 2 remainder 7 |
| 3 | 22 ÷ 7 = 3 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 192 | 12864 |
| 102 and 102 | 102 |
| 173 and 58 | 10034 |
| 193 and 29 | 5597 |
| 163 and 199 | 32437 |