Least Common Multiple (LCM) of 70 and 170
The least common multiple (LCM) of 70 and 170 is 1190.
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 170?
First, calculate the GCD of 70 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 170 = 0 remainder 70 |
| 2 | 170 ÷ 70 = 2 remainder 30 |
| 3 | 70 ÷ 30 = 2 remainder 10 |
| 4 | 30 ÷ 10 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 104 | 15704 |
| 32 and 76 | 608 |
| 36 and 116 | 1044 |
| 122 and 162 | 9882 |
| 131 and 179 | 23449 |