Least Common Multiple (LCM) of 124 and 77
The least common multiple (LCM) of 124 and 77 is 9548.
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 77?
First, calculate the GCD of 124 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 77 = 1 remainder 47 |
| 2 | 77 ÷ 47 = 1 remainder 30 |
| 3 | 47 ÷ 30 = 1 remainder 17 |
| 4 | 30 ÷ 17 = 1 remainder 13 |
| 5 | 17 ÷ 13 = 1 remainder 4 |
| 6 | 13 ÷ 4 = 3 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 127 | 19939 |
| 115 and 168 | 19320 |
| 189 and 56 | 1512 |
| 114 and 129 | 4902 |
| 199 and 108 | 21492 |