Least Common Multiple (LCM) of 156 and 170
The least common multiple (LCM) of 156 and 170 is 13260.
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 170?
First, calculate the GCD of 156 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 170 = 0 remainder 156 |
| 2 | 170 ÷ 156 = 1 remainder 14 |
| 3 | 156 ÷ 14 = 11 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 118 | 10148 |
| 155 and 42 | 6510 |
| 98 and 47 | 4606 |
| 43 and 112 | 4816 |
| 113 and 38 | 4294 |