Least Common Multiple (LCM) of 92 and 75
The least common multiple (LCM) of 92 and 75 is 6900.
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 92 and 75?
First, calculate the GCD of 92 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 75 = 1 remainder 17 |
| 2 | 75 ÷ 17 = 4 remainder 7 |
| 3 | 17 ÷ 7 = 2 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 145 | 3915 |
| 68 and 155 | 10540 |
| 167 and 123 | 20541 |
| 193 and 195 | 37635 |
| 122 and 141 | 17202 |