Least Common Multiple (LCM) of 52 and 92
The least common multiple (LCM) of 52 and 92 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 52 and 92?
First, calculate the GCD of 52 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 92 = 0 remainder 52 |
| 2 | 92 ÷ 52 = 1 remainder 40 |
| 3 | 52 ÷ 40 = 1 remainder 12 |
| 4 | 40 ÷ 12 = 3 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 81 | 1053 |
| 80 and 145 | 2320 |
| 23 and 117 | 2691 |
| 149 and 50 | 7450 |
| 149 and 65 | 9685 |