Least Common Multiple (LCM) of 152 and 17
The least common multiple (LCM) of 152 and 17 is 2584.
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 152 and 17?
First, calculate the GCD of 152 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 17 = 8 remainder 16 |
| 2 | 17 ÷ 16 = 1 remainder 1 |
| 3 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 85 | 1870 |
| 173 and 109 | 18857 |
| 129 and 76 | 9804 |
| 36 and 46 | 828 |
| 82 and 153 | 12546 |