Least Common Multiple (LCM) of 117 and 147
The least common multiple (LCM) of 117 and 147 is 5733.
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 147?
First, calculate the GCD of 117 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 147 = 0 remainder 117 |
| 2 | 147 ÷ 117 = 1 remainder 30 |
| 3 | 117 ÷ 30 = 3 remainder 27 |
| 4 | 30 ÷ 27 = 1 remainder 3 |
| 5 | 27 ÷ 3 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 190 | 5890 |
| 90 and 86 | 3870 |
| 118 and 89 | 10502 |
| 186 and 194 | 18042 |
| 156 and 43 | 6708 |