Least Common Multiple (LCM) of 142 and 191
The least common multiple (LCM) of 142 and 191 is 27122.
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 142 and 191?
First, calculate the GCD of 142 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 191 = 0 remainder 142 |
| 2 | 191 ÷ 142 = 1 remainder 49 |
| 3 | 142 ÷ 49 = 2 remainder 44 |
| 4 | 49 ÷ 44 = 1 remainder 5 |
| 5 | 44 ÷ 5 = 8 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 190 | 27170 |
| 146 and 164 | 11972 |
| 114 and 105 | 3990 |
| 85 and 160 | 2720 |
| 187 and 122 | 22814 |