Least Common Multiple (LCM) of 147 and 113
The least common multiple (LCM) of 147 and 113 is 16611.
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 147 and 113?
First, calculate the GCD of 147 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 113 = 1 remainder 34 |
| 2 | 113 ÷ 34 = 3 remainder 11 |
| 3 | 34 ÷ 11 = 3 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 67 | 9246 |
| 167 and 114 | 19038 |
| 133 and 18 | 2394 |
| 69 and 57 | 1311 |
| 191 and 64 | 12224 |