Least Common Multiple (LCM) of 86 and 152
The least common multiple (LCM) of 86 and 152 is 6536.
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 86 and 152?
First, calculate the GCD of 86 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 152 = 0 remainder 86 |
| 2 | 152 ÷ 86 = 1 remainder 66 |
| 3 | 86 ÷ 66 = 1 remainder 20 |
| 4 | 66 ÷ 20 = 3 remainder 6 |
| 5 | 20 ÷ 6 = 3 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 121 | 5929 |
| 87 and 110 | 9570 |
| 142 and 143 | 20306 |
| 177 and 103 | 18231 |
| 169 and 113 | 19097 |