Least Common Multiple (LCM) of 40 and 134
The least common multiple (LCM) of 40 and 134 is 2680.
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 40 and 134?
First, calculate the GCD of 40 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 40 ÷ 134 = 0 remainder 40 |
| 2 | 134 ÷ 40 = 3 remainder 14 |
| 3 | 40 ÷ 14 = 2 remainder 12 |
| 4 | 14 ÷ 12 = 1 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 124 | 15004 |
| 157 and 42 | 6594 |
| 48 and 43 | 2064 |
| 18 and 120 | 360 |
| 35 and 168 | 840 |