Least Common Multiple (LCM) of 134 and 92
The least common multiple (LCM) of 134 and 92 is 6164.
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 134 and 92?
First, calculate the GCD of 134 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 92 = 1 remainder 42 |
| 2 | 92 ÷ 42 = 2 remainder 8 |
| 3 | 42 ÷ 8 = 5 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 173 | 7093 |
| 101 and 152 | 15352 |
| 76 and 151 | 11476 |
| 185 and 162 | 29970 |
| 103 and 138 | 14214 |