Least Common Multiple (LCM) of 156 and 92
The least common multiple (LCM) of 156 and 92 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 156 and 92?
First, calculate the GCD of 156 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 92 = 1 remainder 64 |
| 2 | 92 ÷ 64 = 1 remainder 28 |
| 3 | 64 ÷ 28 = 2 remainder 8 |
| 4 | 28 ÷ 8 = 3 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 16 | 688 |
| 159 and 100 | 15900 |
| 37 and 132 | 4884 |
| 99 and 21 | 693 |
| 117 and 164 | 19188 |