Least Common Multiple (LCM) of 70 and 176
The least common multiple (LCM) of 70 and 176 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 70 and 176?
First, calculate the GCD of 70 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 176 = 0 remainder 70 |
| 2 | 176 ÷ 70 = 2 remainder 36 |
| 3 | 70 ÷ 36 = 1 remainder 34 |
| 4 | 36 ÷ 34 = 1 remainder 2 |
| 5 | 34 ÷ 2 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 29 | 3306 |
| 156 and 175 | 27300 |
| 13 and 124 | 1612 |
| 123 and 190 | 23370 |
| 163 and 191 | 31133 |