Least Common Multiple (LCM) of 114 and 147
The least common multiple (LCM) of 114 and 147 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 114 and 147?
First, calculate the GCD of 114 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 147 = 0 remainder 114 |
| 2 | 147 ÷ 114 = 1 remainder 33 |
| 3 | 114 ÷ 33 = 3 remainder 15 |
| 4 | 33 ÷ 15 = 2 remainder 3 |
| 5 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 23 | 3358 |
| 143 and 93 | 13299 |
| 113 and 78 | 8814 |
| 191 and 11 | 2101 |
| 141 and 74 | 10434 |