Least Common Multiple (LCM) of 192 and 157
The least common multiple (LCM) of 192 and 157 is 30144.
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 157?
First, calculate the GCD of 192 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 157 = 1 remainder 35 |
| 2 | 157 ÷ 35 = 4 remainder 17 |
| 3 | 35 ÷ 17 = 2 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 82 | 7380 |
| 13 and 175 | 2275 |
| 186 and 106 | 9858 |
| 92 and 167 | 15364 |
| 112 and 38 | 2128 |