Least Common Multiple (LCM) of 37 and 183
The least common multiple (LCM) of 37 and 183 is 6771.
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 37 and 183?
First, calculate the GCD of 37 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 183 = 0 remainder 37 |
| 2 | 183 ÷ 37 = 4 remainder 35 |
| 3 | 37 ÷ 35 = 1 remainder 2 |
| 4 | 35 ÷ 2 = 17 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 179 | 6086 |
| 174 and 195 | 11310 |
| 136 and 80 | 1360 |
| 148 and 180 | 6660 |
| 143 and 103 | 14729 |