Least Common Multiple (LCM) of 156 and 73
The least common multiple (LCM) of 156 and 73 is 11388.
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 73?
First, calculate the GCD of 156 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 73 = 2 remainder 10 |
| 2 | 73 ÷ 10 = 7 remainder 3 |
| 3 | 10 ÷ 3 = 3 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 159 | 12243 |
| 32 and 21 | 672 |
| 85 and 199 | 16915 |
| 197 and 75 | 14775 |
| 163 and 11 | 1793 |