Least Common Multiple (LCM) of 141 and 123
The least common multiple (LCM) of 141 and 123 is 5781.
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 123?
First, calculate the GCD of 141 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 123 = 1 remainder 18 |
| 2 | 123 ÷ 18 = 6 remainder 15 |
| 3 | 18 ÷ 15 = 1 remainder 3 |
| 4 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 40 | 680 |
| 132 and 140 | 4620 |
| 187 and 163 | 30481 |
| 80 and 77 | 6160 |
| 31 and 94 | 2914 |