Least Common Multiple (LCM) of 94 and 136
The least common multiple (LCM) of 94 and 136 is 6392.
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 136?
First, calculate the GCD of 94 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 136 = 0 remainder 94 |
| 2 | 136 ÷ 94 = 1 remainder 42 |
| 3 | 94 ÷ 42 = 2 remainder 10 |
| 4 | 42 ÷ 10 = 4 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 79 | 158 |
| 164 and 176 | 7216 |
| 153 and 194 | 29682 |
| 100 and 105 | 2100 |
| 138 and 105 | 4830 |