Least Common Multiple (LCM) of 54 and 134
The least common multiple (LCM) of 54 and 134 is 3618.
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 54 and 134?
First, calculate the GCD of 54 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 54 ÷ 134 = 0 remainder 54 |
| 2 | 134 ÷ 54 = 2 remainder 26 |
| 3 | 54 ÷ 26 = 2 remainder 2 |
| 4 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 111 | 6438 |
| 112 and 157 | 17584 |
| 145 and 107 | 15515 |
| 40 and 68 | 680 |
| 76 and 150 | 5700 |