Least Common Multiple (LCM) of 34 and 94
The least common multiple (LCM) of 34 and 94 is 1598.
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 34 and 94?
First, calculate the GCD of 34 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 34 ÷ 94 = 0 remainder 34 |
| 2 | 94 ÷ 34 = 2 remainder 26 |
| 3 | 34 ÷ 26 = 1 remainder 8 |
| 4 | 26 ÷ 8 = 3 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 136 | 4216 |
| 10 and 156 | 780 |
| 141 and 189 | 8883 |
| 115 and 103 | 11845 |
| 126 and 130 | 8190 |