Least Common Multiple (LCM) of 92 and 156
The least common multiple (LCM) of 92 and 156 is 3588.
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 156?
First, calculate the GCD of 92 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 156 = 0 remainder 92 |
| 2 | 156 ÷ 92 = 1 remainder 64 |
| 3 | 92 ÷ 64 = 1 remainder 28 |
| 4 | 64 ÷ 28 = 2 remainder 8 |
| 5 | 28 ÷ 8 = 3 remainder 4 |
| 6 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 192 | 960 |
| 131 and 64 | 8384 |
| 122 and 58 | 3538 |
| 154 and 21 | 462 |
| 142 and 152 | 10792 |