Least Common Multiple (LCM) of 151 and 192
The least common multiple (LCM) of 151 and 192 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 151 and 192?
First, calculate the GCD of 151 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 192 = 0 remainder 151 |
| 2 | 192 ÷ 151 = 1 remainder 41 |
| 3 | 151 ÷ 41 = 3 remainder 28 |
| 4 | 41 ÷ 28 = 1 remainder 13 |
| 5 | 28 ÷ 13 = 2 remainder 2 |
| 6 | 13 ÷ 2 = 6 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 182 | 28210 |
| 120 and 118 | 7080 |
| 140 and 128 | 4480 |
| 89 and 14 | 1246 |
| 112 and 77 | 1232 |