Least Common Multiple (LCM) of 92 and 52
The least common multiple (LCM) of 92 and 52 is 1196.
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 52?
First, calculate the GCD of 92 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 52 = 1 remainder 40 |
| 2 | 52 ÷ 40 = 1 remainder 12 |
| 3 | 40 ÷ 12 = 3 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 91 | 9009 |
| 23 and 128 | 2944 |
| 150 and 81 | 4050 |
| 95 and 120 | 2280 |
| 184 and 86 | 7912 |