Least Common Multiple (LCM) of 104 and 156
The least common multiple (LCM) of 104 and 156 is 312.
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 104 and 156?
First, calculate the GCD of 104 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 156 = 0 remainder 104 |
| 2 | 156 ÷ 104 = 1 remainder 52 |
| 3 | 104 ÷ 52 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 141 | 7332 |
| 106 and 107 | 11342 |
| 167 and 55 | 9185 |
| 159 and 32 | 5088 |
| 10 and 19 | 190 |