Least Common Multiple (LCM) of 141 and 117
The least common multiple (LCM) of 141 and 117 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 141 and 117?
First, calculate the GCD of 141 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 117 = 1 remainder 24 |
| 2 | 117 ÷ 24 = 4 remainder 21 |
| 3 | 24 ÷ 21 = 1 remainder 3 |
| 4 | 21 ÷ 3 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 187 | 10472 |
| 195 and 35 | 1365 |
| 101 and 110 | 11110 |
| 135 and 156 | 7020 |
| 185 and 48 | 8880 |