Least Common Multiple (LCM) of 176 and 98
The least common multiple (LCM) of 176 and 98 is 8624.
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 98?
First, calculate the GCD of 176 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 98 = 1 remainder 78 |
| 2 | 98 ÷ 78 = 1 remainder 20 |
| 3 | 78 ÷ 20 = 3 remainder 18 |
| 4 | 20 ÷ 18 = 1 remainder 2 |
| 5 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 135 | 2160 |
| 101 and 30 | 3030 |
| 175 and 112 | 2800 |
| 54 and 39 | 702 |
| 48 and 16 | 48 |