Least Common Multiple (LCM) of 162 and 185
The least common multiple (LCM) of 162 and 185 is 29970.
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 162 and 185?
First, calculate the GCD of 162 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 185 = 0 remainder 162 |
| 2 | 185 ÷ 162 = 1 remainder 23 |
| 3 | 162 ÷ 23 = 7 remainder 1 |
| 4 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 48 | 2352 |
| 146 and 42 | 3066 |
| 174 and 87 | 174 |
| 172 and 137 | 23564 |
| 90 and 38 | 1710 |