Least Common Multiple (LCM) of 147 and 94
The least common multiple (LCM) of 147 and 94 is 13818.
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 94?
First, calculate the GCD of 147 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 94 = 1 remainder 53 |
| 2 | 94 ÷ 53 = 1 remainder 41 |
| 3 | 53 ÷ 41 = 1 remainder 12 |
| 4 | 41 ÷ 12 = 3 remainder 5 |
| 5 | 12 ÷ 5 = 2 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 17 | 1037 |
| 98 and 199 | 19502 |
| 114 and 37 | 4218 |
| 105 and 46 | 4830 |
| 177 and 51 | 3009 |