Least Common Multiple (LCM) of 131 and 152
The least common multiple (LCM) of 131 and 152 is 19912.
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 152?
First, calculate the GCD of 131 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 152 = 0 remainder 131 |
| 2 | 152 ÷ 131 = 1 remainder 21 |
| 3 | 131 ÷ 21 = 6 remainder 5 |
| 4 | 21 ÷ 5 = 4 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 167 | 17535 |
| 183 and 197 | 36051 |
| 35 and 19 | 665 |
| 127 and 183 | 23241 |
| 80 and 128 | 640 |