Least Common Multiple (LCM) of 176 and 54
The least common multiple (LCM) of 176 and 54 is 4752.
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 176 and 54?
First, calculate the GCD of 176 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 54 = 3 remainder 14 |
| 2 | 54 ÷ 14 = 3 remainder 12 |
| 3 | 14 ÷ 12 = 1 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 11 | 1386 |
| 60 and 87 | 1740 |
| 101 and 152 | 15352 |
| 172 and 45 | 7740 |
| 53 and 126 | 6678 |