Least Common Multiple (LCM) of 180 and 74
The least common multiple (LCM) of 180 and 74 is 6660.
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 74?
First, calculate the GCD of 180 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 74 = 2 remainder 32 |
| 2 | 74 ÷ 32 = 2 remainder 10 |
| 3 | 32 ÷ 10 = 3 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 169 | 27885 |
| 155 and 35 | 1085 |
| 26 and 186 | 2418 |
| 28 and 153 | 4284 |
| 168 and 113 | 18984 |