Least Common Multiple (LCM) of 176 and 60
The least common multiple (LCM) of 176 and 60 is 2640.
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 60?
First, calculate the GCD of 176 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 60 = 2 remainder 56 |
| 2 | 60 ÷ 56 = 1 remainder 4 |
| 3 | 56 ÷ 4 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 41 | 5945 |
| 75 and 119 | 8925 |
| 200 and 97 | 19400 |
| 65 and 84 | 5460 |
| 195 and 198 | 12870 |