Least Common Multiple (LCM) of 176 and 62
The least common multiple (LCM) of 176 and 62 is 5456.
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 62?
First, calculate the GCD of 176 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 62 = 2 remainder 52 |
| 2 | 62 ÷ 52 = 1 remainder 10 |
| 3 | 52 ÷ 10 = 5 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 34 | 1870 |
| 56 and 166 | 4648 |
| 13 and 168 | 2184 |
| 113 and 103 | 11639 |
| 168 and 66 | 1848 |