Least Common Multiple (LCM) of 54 and 22
The least common multiple (LCM) of 54 and 22 is 594.
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 54 and 22?
First, calculate the GCD of 54 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 54 ÷ 22 = 2 remainder 10 |
| 2 | 22 ÷ 10 = 2 remainder 2 |
| 3 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 96 | 192 |
| 116 and 90 | 5220 |
| 175 and 37 | 6475 |
| 59 and 68 | 4012 |
| 139 and 14 | 1946 |