Least Common Multiple (LCM) of 84 and 147
The least common multiple (LCM) of 84 and 147 is 588.
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 84 and 147?
First, calculate the GCD of 84 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 147 = 0 remainder 84 |
| 2 | 147 ÷ 84 = 1 remainder 63 |
| 3 | 84 ÷ 63 = 1 remainder 21 |
| 4 | 63 ÷ 21 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 130 | 390 |
| 63 and 18 | 126 |
| 164 and 180 | 7380 |
| 113 and 29 | 3277 |
| 197 and 113 | 22261 |