Least Common Multiple (LCM) of 180 and 121
The least common multiple (LCM) of 180 and 121 is 21780.
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 121?
First, calculate the GCD of 180 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 121 = 1 remainder 59 |
| 2 | 121 ÷ 59 = 2 remainder 3 |
| 3 | 59 ÷ 3 = 19 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 152 | 11704 |
| 18 and 74 | 666 |
| 58 and 37 | 2146 |
| 53 and 111 | 5883 |
| 132 and 148 | 4884 |