Least Common Multiple (LCM) of 183 and 139
The least common multiple (LCM) of 183 and 139 is 25437.
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 183 and 139?
First, calculate the GCD of 183 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 139 = 1 remainder 44 |
| 2 | 139 ÷ 44 = 3 remainder 7 |
| 3 | 44 ÷ 7 = 6 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 21 | 3507 |
| 172 and 195 | 33540 |
| 152 and 174 | 13224 |
| 72 and 123 | 2952 |
| 171 and 148 | 25308 |