Least Common Multiple (LCM) of 180 and 147
The least common multiple (LCM) of 180 and 147 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 180 and 147?
First, calculate the GCD of 180 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 147 = 1 remainder 33 |
| 2 | 147 ÷ 33 = 4 remainder 15 |
| 3 | 33 ÷ 15 = 2 remainder 3 |
| 4 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 25 | 3400 |
| 52 and 109 | 5668 |
| 141 and 59 | 8319 |
| 47 and 107 | 5029 |
| 19 and 186 | 3534 |