Least Common Multiple (LCM) of 143 and 117
The least common multiple (LCM) of 143 and 117 is 1287.
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 143 and 117?
First, calculate the GCD of 143 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 117 = 1 remainder 26 |
| 2 | 117 ÷ 26 = 4 remainder 13 |
| 3 | 26 ÷ 13 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 179 | 21301 |
| 183 and 17 | 3111 |
| 82 and 171 | 14022 |
| 146 and 110 | 8030 |
| 114 and 58 | 3306 |