Least Common Multiple (LCM) of 151 and 180
The least common multiple (LCM) of 151 and 180 is 27180.
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 151 and 180?
First, calculate the GCD of 151 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 180 = 0 remainder 151 |
| 2 | 180 ÷ 151 = 1 remainder 29 |
| 3 | 151 ÷ 29 = 5 remainder 6 |
| 4 | 29 ÷ 6 = 4 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 176 | 16016 |
| 104 and 21 | 2184 |
| 28 and 96 | 672 |
| 133 and 17 | 2261 |
| 60 and 55 | 660 |