Least Common Multiple (LCM) of 94 and 172
The least common multiple (LCM) of 94 and 172 is 8084.
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 172?
First, calculate the GCD of 94 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 172 = 0 remainder 94 |
| 2 | 172 ÷ 94 = 1 remainder 78 |
| 3 | 94 ÷ 78 = 1 remainder 16 |
| 4 | 78 ÷ 16 = 4 remainder 14 |
| 5 | 16 ÷ 14 = 1 remainder 2 |
| 6 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 14 | 602 |
| 159 and 39 | 2067 |
| 63 and 133 | 1197 |
| 121 and 99 | 1089 |
| 79 and 10 | 790 |