Least Common Multiple (LCM) of 114 and 44
The least common multiple (LCM) of 114 and 44 is 2508.
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 114 and 44?
First, calculate the GCD of 114 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 44 = 2 remainder 26 |
| 2 | 44 ÷ 26 = 1 remainder 18 |
| 3 | 26 ÷ 18 = 1 remainder 8 |
| 4 | 18 ÷ 8 = 2 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 58 | 3770 |
| 153 and 154 | 23562 |
| 38 and 58 | 1102 |
| 12 and 37 | 444 |
| 81 and 61 | 4941 |