Least Common Multiple (LCM) of 94 and 177
The least common multiple (LCM) of 94 and 177 is 16638.
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 177?
First, calculate the GCD of 94 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 177 = 0 remainder 94 |
| 2 | 177 ÷ 94 = 1 remainder 83 |
| 3 | 94 ÷ 83 = 1 remainder 11 |
| 4 | 83 ÷ 11 = 7 remainder 6 |
| 5 | 11 ÷ 6 = 1 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 129 | 15351 |
| 138 and 91 | 12558 |
| 141 and 38 | 5358 |
| 20 and 37 | 740 |
| 103 and 127 | 13081 |