Least Common Multiple (LCM) of 156 and 94
The least common multiple (LCM) of 156 and 94 is 7332.
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 94?
First, calculate the GCD of 156 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 94 = 1 remainder 62 |
| 2 | 94 ÷ 62 = 1 remainder 32 |
| 3 | 62 ÷ 32 = 1 remainder 30 |
| 4 | 32 ÷ 30 = 1 remainder 2 |
| 5 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 174 | 26274 |
| 176 and 151 | 26576 |
| 80 and 81 | 6480 |
| 34 and 78 | 1326 |
| 18 and 13 | 234 |