Least Common Multiple (LCM) of 176 and 42
The least common multiple (LCM) of 176 and 42 is 3696.
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 42?
First, calculate the GCD of 176 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 42 = 4 remainder 8 |
| 2 | 42 ÷ 8 = 5 remainder 2 |
| 3 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 56 | 224 |
| 161 and 197 | 31717 |
| 130 and 48 | 3120 |
| 121 and 13 | 1573 |
| 18 and 48 | 144 |