Least Common Multiple (LCM) of 160 and 72
The least common multiple (LCM) of 160 and 72 is 1440.
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 72?
First, calculate the GCD of 160 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 72 = 2 remainder 16 |
| 2 | 72 ÷ 16 = 4 remainder 8 |
| 3 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 170 | 10030 |
| 116 and 139 | 16124 |
| 56 and 45 | 2520 |
| 35 and 175 | 175 |
| 177 and 48 | 2832 |