Least Common Multiple (LCM) of 94 and 124
The least common multiple (LCM) of 94 and 124 is 5828.
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 94 and 124?
First, calculate the GCD of 94 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 124 = 0 remainder 94 |
| 2 | 124 ÷ 94 = 1 remainder 30 |
| 3 | 94 ÷ 30 = 3 remainder 4 |
| 4 | 30 ÷ 4 = 7 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 134 | 134 |
| 164 and 55 | 9020 |
| 117 and 101 | 11817 |
| 58 and 22 | 638 |
| 131 and 79 | 10349 |