Least Common Multiple (LCM) of 92 and 134
The least common multiple (LCM) of 92 and 134 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 92 and 134?
First, calculate the GCD of 92 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 134 = 0 remainder 92 |
| 2 | 134 ÷ 92 = 1 remainder 42 |
| 3 | 92 ÷ 42 = 2 remainder 8 |
| 4 | 42 ÷ 8 = 5 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 110 | 4070 |
| 192 and 35 | 6720 |
| 120 and 130 | 1560 |
| 164 and 53 | 8692 |
| 90 and 81 | 810 |