Least Common Multiple (LCM) of 34 and 44
The least common multiple (LCM) of 34 and 44 is 748.
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 34 and 44?
First, calculate the GCD of 34 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 34 ÷ 44 = 0 remainder 34 |
| 2 | 44 ÷ 34 = 1 remainder 10 |
| 3 | 34 ÷ 10 = 3 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 161 | 16422 |
| 198 and 45 | 990 |
| 189 and 92 | 17388 |
| 86 and 64 | 2752 |
| 54 and 148 | 3996 |