Least Common Multiple (LCM) of 102 and 54
The least common multiple (LCM) of 102 and 54 is 918.
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 102 and 54?
First, calculate the GCD of 102 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 54 = 1 remainder 48 |
| 2 | 54 ÷ 48 = 1 remainder 6 |
| 3 | 48 ÷ 6 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 99 | 10593 |
| 60 and 97 | 5820 |
| 184 and 87 | 16008 |
| 45 and 191 | 8595 |
| 140 and 128 | 4480 |