Least Common Multiple (LCM) of 134 and 44
The least common multiple (LCM) of 134 and 44 is 2948.
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 44?
First, calculate the GCD of 134 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 44 = 3 remainder 2 |
| 2 | 44 ÷ 2 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 152 | 4104 |
| 42 and 143 | 6006 |
| 171 and 61 | 10431 |
| 68 and 189 | 12852 |
| 149 and 48 | 7152 |