Least Common Multiple (LCM) of 117 and 141
The least common multiple (LCM) of 117 and 141 is 5499.
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 141?
First, calculate the GCD of 117 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 141 = 0 remainder 117 |
| 2 | 141 ÷ 117 = 1 remainder 24 |
| 3 | 117 ÷ 24 = 4 remainder 21 |
| 4 | 24 ÷ 21 = 1 remainder 3 |
| 5 | 21 ÷ 3 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 50 | 3200 |
| 125 and 169 | 21125 |
| 133 and 96 | 12768 |
| 180 and 111 | 6660 |
| 86 and 186 | 7998 |