Least Common Multiple (LCM) of 176 and 76
The least common multiple (LCM) of 176 and 76 is 3344.
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 76?
First, calculate the GCD of 176 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 76 = 2 remainder 24 |
| 2 | 76 ÷ 24 = 3 remainder 4 |
| 3 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 37 | 4144 |
| 149 and 40 | 5960 |
| 52 and 87 | 4524 |
| 189 and 77 | 2079 |
| 128 and 31 | 3968 |