Least Common Multiple (LCM) of 154 and 94
The least common multiple (LCM) of 154 and 94 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 154 and 94?
First, calculate the GCD of 154 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 94 = 1 remainder 60 |
| 2 | 94 ÷ 60 = 1 remainder 34 |
| 3 | 60 ÷ 34 = 1 remainder 26 |
| 4 | 34 ÷ 26 = 1 remainder 8 |
| 5 | 26 ÷ 8 = 3 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 147 | 1323 |
| 32 and 187 | 5984 |
| 91 and 125 | 11375 |
| 15 and 131 | 1965 |
| 102 and 195 | 6630 |