Least Common Multiple (LCM) of 160 and 30
The least common multiple (LCM) of 160 and 30 is 480.
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 160 and 30?
First, calculate the GCD of 160 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 30 = 5 remainder 10 |
| 2 | 30 ÷ 10 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 125 | 23250 |
| 138 and 143 | 19734 |
| 191 and 108 | 20628 |
| 142 and 176 | 12496 |
| 78 and 31 | 2418 |