Least Common Multiple (LCM) of 11 and 142
The least common multiple (LCM) of 11 and 142 is 1562.
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 11 and 142?
First, calculate the GCD of 11 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 11 ÷ 142 = 0 remainder 11 |
| 2 | 142 ÷ 11 = 12 remainder 10 |
| 3 | 11 ÷ 10 = 1 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 99 | 17028 |
| 38 and 59 | 2242 |
| 71 and 185 | 13135 |
| 142 and 10 | 710 |
| 151 and 65 | 9815 |