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 |
|---|---|
| 61 and 114 | 6954 |
| 144 and 57 | 2736 |
| 80 and 118 | 4720 |
| 140 and 105 | 420 |
| 113 and 62 | 7006 |