Least Common Multiple (LCM) of 86 and 153
The least common multiple (LCM) of 86 and 153 is 13158.
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 153?
First, calculate the GCD of 86 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 153 = 0 remainder 86 |
| 2 | 153 ÷ 86 = 1 remainder 67 |
| 3 | 86 ÷ 67 = 1 remainder 19 |
| 4 | 67 ÷ 19 = 3 remainder 10 |
| 5 | 19 ÷ 10 = 1 remainder 9 |
| 6 | 10 ÷ 9 = 1 remainder 1 |
| 7 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 20 | 3740 |
| 105 and 129 | 4515 |
| 197 and 125 | 24625 |
| 114 and 47 | 5358 |
| 47 and 77 | 3619 |