Least Common Multiple (LCM) of 54 and 158
The least common multiple (LCM) of 54 and 158 is 4266.
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 158?
First, calculate the GCD of 54 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 54 ÷ 158 = 0 remainder 54 |
| 2 | 158 ÷ 54 = 2 remainder 50 |
| 3 | 54 ÷ 50 = 1 remainder 4 |
| 4 | 50 ÷ 4 = 12 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 23 | 575 |
| 100 and 57 | 5700 |
| 54 and 23 | 1242 |
| 36 and 152 | 1368 |
| 182 and 111 | 20202 |