Least Common Multiple (LCM) of 36 and 183
The least common multiple (LCM) of 36 and 183 is 2196.
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 36 and 183?
First, calculate the GCD of 36 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 183 = 0 remainder 36 |
| 2 | 183 ÷ 36 = 5 remainder 3 |
| 3 | 36 ÷ 3 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 141 | 13818 |
| 79 and 107 | 8453 |
| 118 and 118 | 118 |
| 174 and 132 | 3828 |
| 40 and 67 | 2680 |