Least Common Multiple (LCM) of 94 and 156
The least common multiple (LCM) of 94 and 156 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 94 and 156?
First, calculate the GCD of 94 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 156 = 0 remainder 94 |
| 2 | 156 ÷ 94 = 1 remainder 62 |
| 3 | 94 ÷ 62 = 1 remainder 32 |
| 4 | 62 ÷ 32 = 1 remainder 30 |
| 5 | 32 ÷ 30 = 1 remainder 2 |
| 6 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 53 | 9010 |
| 28 and 141 | 3948 |
| 80 and 24 | 240 |
| 101 and 16 | 1616 |
| 176 and 81 | 14256 |