Least Common Multiple (LCM) of 86 and 100
The least common multiple (LCM) of 86 and 100 is 4300.
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 100?
First, calculate the GCD of 86 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 100 = 0 remainder 86 |
| 2 | 100 ÷ 86 = 1 remainder 14 |
| 3 | 86 ÷ 14 = 6 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 55 | 110 |
| 56 and 14 | 56 |
| 167 and 15 | 2505 |
| 81 and 70 | 5670 |
| 194 and 102 | 9894 |