Least Common Multiple (LCM) of 147 and 114
The least common multiple (LCM) of 147 and 114 is 5586.
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 114?
First, calculate the GCD of 147 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 114 = 1 remainder 33 |
| 2 | 114 ÷ 33 = 3 remainder 15 |
| 3 | 33 ÷ 15 = 2 remainder 3 |
| 4 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 73 | 3504 |
| 148 and 104 | 3848 |
| 67 and 52 | 3484 |
| 128 and 54 | 3456 |
| 172 and 144 | 6192 |