Least Common Multiple (LCM) of 23 and 139
The least common multiple (LCM) of 23 and 139 is 3197.
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 23 and 139?
First, calculate the GCD of 23 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 23 ÷ 139 = 0 remainder 23 |
| 2 | 139 ÷ 23 = 6 remainder 1 |
| 3 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 197 | 6107 |
| 133 and 93 | 12369 |
| 46 and 109 | 5014 |
| 110 and 52 | 2860 |
| 130 and 90 | 1170 |