Least Common Multiple (LCM) of 117 and 143
The least common multiple (LCM) of 117 and 143 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 117 and 143?
First, calculate the GCD of 117 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 143 = 0 remainder 117 |
| 2 | 143 ÷ 117 = 1 remainder 26 |
| 3 | 117 ÷ 26 = 4 remainder 13 |
| 4 | 26 ÷ 13 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 101 | 14847 |
| 141 and 100 | 14100 |
| 150 and 15 | 150 |
| 166 and 90 | 7470 |
| 32 and 10 | 160 |