Least Common Multiple (LCM) of 170 and 53
The least common multiple (LCM) of 170 and 53 is 9010.
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 170 and 53?
First, calculate the GCD of 170 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 53 = 3 remainder 11 |
| 2 | 53 ÷ 11 = 4 remainder 9 |
| 3 | 11 ÷ 9 = 1 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 139 | 14317 |
| 174 and 109 | 18966 |
| 44 and 46 | 1012 |
| 136 and 158 | 10744 |
| 161 and 190 | 30590 |