Least Common Multiple (LCM) of 77 and 124
The least common multiple (LCM) of 77 and 124 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 77 and 124?
First, calculate the GCD of 77 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 124 = 0 remainder 77 |
| 2 | 124 ÷ 77 = 1 remainder 47 |
| 3 | 77 ÷ 47 = 1 remainder 30 |
| 4 | 47 ÷ 30 = 1 remainder 17 |
| 5 | 30 ÷ 17 = 1 remainder 13 |
| 6 | 17 ÷ 13 = 1 remainder 4 |
| 7 | 13 ÷ 4 = 3 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 58 | 4118 |
| 86 and 67 | 5762 |
| 100 and 35 | 700 |
| 156 and 193 | 30108 |
| 190 and 135 | 5130 |