Least Common Multiple (LCM) of 113 and 141
The least common multiple (LCM) of 113 and 141 is 15933.
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 113 and 141?
First, calculate the GCD of 113 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 113 ÷ 141 = 0 remainder 113 |
| 2 | 141 ÷ 113 = 1 remainder 28 |
| 3 | 113 ÷ 28 = 4 remainder 1 |
| 4 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 123 | 2214 |
| 99 and 12 | 396 |
| 21 and 35 | 105 |
| 151 and 179 | 27029 |
| 129 and 72 | 3096 |