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 |
|---|---|
| 117 and 130 | 1170 |
| 60 and 128 | 1920 |
| 160 and 81 | 12960 |
| 61 and 63 | 3843 |
| 149 and 128 | 19072 |