Least Common Multiple (LCM) of 192 and 35
The least common multiple (LCM) of 192 and 35 is 6720.
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 192 and 35?
First, calculate the GCD of 192 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 35 = 5 remainder 17 |
| 2 | 35 ÷ 17 = 2 remainder 1 |
| 3 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 112 | 4592 |
| 160 and 147 | 23520 |
| 20 and 58 | 580 |
| 66 and 176 | 528 |
| 120 and 40 | 120 |