Least Common Multiple (LCM) of 147 and 118
The least common multiple (LCM) of 147 and 118 is 17346.
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 118?
First, calculate the GCD of 147 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 118 = 1 remainder 29 |
| 2 | 118 ÷ 29 = 4 remainder 2 |
| 3 | 29 ÷ 2 = 14 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 63 | 882 |
| 82 and 29 | 2378 |
| 119 and 41 | 4879 |
| 99 and 105 | 3465 |
| 183 and 23 | 4209 |