Least Common Multiple (LCM) of 192 and 151
The least common multiple (LCM) of 192 and 151 is 28992.
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 151?
First, calculate the GCD of 192 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 151 = 1 remainder 41 |
| 2 | 151 ÷ 41 = 3 remainder 28 |
| 3 | 41 ÷ 28 = 1 remainder 13 |
| 4 | 28 ÷ 13 = 2 remainder 2 |
| 5 | 13 ÷ 2 = 6 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 160 | 1440 |
| 180 and 118 | 10620 |
| 49 and 180 | 8820 |
| 134 and 81 | 10854 |
| 130 and 73 | 9490 |