Least Common Multiple (LCM) of 156 and 17
The least common multiple (LCM) of 156 and 17 is 2652.
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 17?
First, calculate the GCD of 156 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 17 = 9 remainder 3 |
| 2 | 17 ÷ 3 = 5 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 88 | 12936 |
| 183 and 14 | 2562 |
| 119 and 74 | 8806 |
| 126 and 96 | 2016 |
| 47 and 116 | 5452 |