Least Common Multiple (LCM) of 170 and 119
The least common multiple (LCM) of 170 and 119 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 170 and 119?
First, calculate the GCD of 170 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 119 = 1 remainder 51 |
| 2 | 119 ÷ 51 = 2 remainder 17 |
| 3 | 51 ÷ 17 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 130 | 14170 |
| 121 and 107 | 12947 |
| 72 and 91 | 6552 |
| 32 and 44 | 352 |
| 45 and 184 | 8280 |