Least Common Multiple (LCM) of 176 and 70
The least common multiple (LCM) of 176 and 70 is 6160.
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 70?
First, calculate the GCD of 176 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 70 = 2 remainder 36 |
| 2 | 70 ÷ 36 = 1 remainder 34 |
| 3 | 36 ÷ 34 = 1 remainder 2 |
| 4 | 34 ÷ 2 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 165 | 6270 |
| 66 and 12 | 132 |
| 176 and 112 | 1232 |
| 26 and 39 | 78 |
| 31 and 122 | 3782 |