Least Common Multiple (LCM) of 100 and 92
The least common multiple (LCM) of 100 and 92 is 2300.
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 100 and 92?
First, calculate the GCD of 100 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 100 ÷ 92 = 1 remainder 8 |
| 2 | 92 ÷ 8 = 11 remainder 4 |
| 3 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 109 | 11663 |
| 114 and 107 | 12198 |
| 23 and 78 | 1794 |
| 116 and 73 | 8468 |
| 157 and 17 | 2669 |