Least Common Multiple (LCM) of 94 and 154
The least common multiple (LCM) of 94 and 154 is 7238.
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 154?
First, calculate the GCD of 94 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 154 = 0 remainder 94 |
| 2 | 154 ÷ 94 = 1 remainder 60 |
| 3 | 94 ÷ 60 = 1 remainder 34 |
| 4 | 60 ÷ 34 = 1 remainder 26 |
| 5 | 34 ÷ 26 = 1 remainder 8 |
| 6 | 26 ÷ 8 = 3 remainder 2 |
| 7 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 192 | 37056 |
| 10 and 49 | 490 |
| 78 and 85 | 6630 |
| 135 and 123 | 5535 |
| 49 and 33 | 1617 |