Least Common Multiple (LCM) of 160 and 194
The least common multiple (LCM) of 160 and 194 is 15520.
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 160 and 194?
First, calculate the GCD of 160 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 194 = 0 remainder 160 |
| 2 | 194 ÷ 160 = 1 remainder 34 |
| 3 | 160 ÷ 34 = 4 remainder 24 |
| 4 | 34 ÷ 24 = 1 remainder 10 |
| 5 | 24 ÷ 10 = 2 remainder 4 |
| 6 | 10 ÷ 4 = 2 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 43 | 8600 |
| 102 and 150 | 2550 |
| 151 and 116 | 17516 |
| 160 and 180 | 1440 |
| 106 and 72 | 3816 |