Least Common Multiple (LCM) of 78 and 124
The least common multiple (LCM) of 78 and 124 is 4836.
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 78 and 124?
First, calculate the GCD of 78 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 124 = 0 remainder 78 |
| 2 | 124 ÷ 78 = 1 remainder 46 |
| 3 | 78 ÷ 46 = 1 remainder 32 |
| 4 | 46 ÷ 32 = 1 remainder 14 |
| 5 | 32 ÷ 14 = 2 remainder 4 |
| 6 | 14 ÷ 4 = 3 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 105 | 18690 |
| 115 and 48 | 5520 |
| 53 and 88 | 4664 |
| 166 and 12 | 996 |
| 188 and 55 | 10340 |