Least Common Multiple (LCM) of 141 and 10
The least common multiple (LCM) of 141 and 10 is 1410.
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 141 and 10?
First, calculate the GCD of 141 and 10 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 10 = 14 remainder 1 |
| 2 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 20 | 260 |
| 110 and 98 | 5390 |
| 117 and 16 | 1872 |
| 118 and 144 | 8496 |
| 200 and 178 | 17800 |