Least Common Multiple (LCM) of 70 and 116
The least common multiple (LCM) of 70 and 116 is 4060.
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 116?
First, calculate the GCD of 70 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 116 = 0 remainder 70 |
| 2 | 116 ÷ 70 = 1 remainder 46 |
| 3 | 70 ÷ 46 = 1 remainder 24 |
| 4 | 46 ÷ 24 = 1 remainder 22 |
| 5 | 24 ÷ 22 = 1 remainder 2 |
| 6 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 159 | 26076 |
| 55 and 179 | 9845 |
| 183 and 103 | 18849 |
| 180 and 157 | 28260 |
| 157 and 97 | 15229 |