Least Common Multiple (LCM) of 94 and 170
The least common multiple (LCM) of 94 and 170 is 7990.
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 170?
First, calculate the GCD of 94 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 170 = 0 remainder 94 |
| 2 | 170 ÷ 94 = 1 remainder 76 |
| 3 | 94 ÷ 76 = 1 remainder 18 |
| 4 | 76 ÷ 18 = 4 remainder 4 |
| 5 | 18 ÷ 4 = 4 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 199 | 25671 |
| 37 and 27 | 999 |
| 69 and 115 | 345 |
| 98 and 103 | 10094 |
| 184 and 10 | 920 |