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 |
|---|---|
| 112 and 63 | 1008 |
| 190 and 86 | 8170 |
| 137 and 72 | 9864 |
| 95 and 121 | 11495 |
| 136 and 135 | 18360 |