Least Common Multiple (LCM) of 176 and 154
The least common multiple (LCM) of 176 and 154 is 1232.
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 154?
First, calculate the GCD of 176 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 154 = 1 remainder 22 |
| 2 | 154 ÷ 22 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 139 | 10703 |
| 130 and 196 | 12740 |
| 172 and 92 | 3956 |
| 115 and 140 | 3220 |
| 184 and 180 | 8280 |