Least Common Multiple (LCM) of 147 and 180
The least common multiple (LCM) of 147 and 180 is 8820.
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 180?
First, calculate the GCD of 147 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 180 = 0 remainder 147 |
| 2 | 180 ÷ 147 = 1 remainder 33 |
| 3 | 147 ÷ 33 = 4 remainder 15 |
| 4 | 33 ÷ 15 = 2 remainder 3 |
| 5 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 29 | 4350 |
| 32 and 54 | 864 |
| 35 and 160 | 1120 |
| 56 and 179 | 10024 |
| 122 and 99 | 12078 |