Least Common Multiple (LCM) of 131 and 153
The least common multiple (LCM) of 131 and 153 is 20043.
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 131 and 153?
First, calculate the GCD of 131 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 153 = 0 remainder 131 |
| 2 | 153 ÷ 131 = 1 remainder 22 |
| 3 | 131 ÷ 22 = 5 remainder 21 |
| 4 | 22 ÷ 21 = 1 remainder 1 |
| 5 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 122 | 12566 |
| 102 and 148 | 7548 |
| 15 and 101 | 1515 |
| 162 and 83 | 13446 |
| 46 and 111 | 5106 |