Least Common Multiple (LCM) of 114 and 22
The least common multiple (LCM) of 114 and 22 is 1254.
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 22?
First, calculate the GCD of 114 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 22 = 5 remainder 4 |
| 2 | 22 ÷ 4 = 5 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 147 | 14847 |
| 118 and 157 | 18526 |
| 112 and 117 | 13104 |
| 150 and 44 | 3300 |
| 199 and 194 | 38606 |