Least Common Multiple (LCM) of 180 and 64
The least common multiple (LCM) of 180 and 64 is 2880.
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 64?
First, calculate the GCD of 180 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 64 = 2 remainder 52 |
| 2 | 64 ÷ 52 = 1 remainder 12 |
| 3 | 52 ÷ 12 = 4 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 44 | 1320 |
| 34 and 58 | 986 |
| 170 and 12 | 1020 |
| 130 and 151 | 19630 |
| 180 and 11 | 1980 |