Least Common Multiple (LCM) of 72 and 160
The least common multiple (LCM) of 72 and 160 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 72 and 160?
First, calculate the GCD of 72 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 160 = 0 remainder 72 |
| 2 | 160 ÷ 72 = 2 remainder 16 |
| 3 | 72 ÷ 16 = 4 remainder 8 |
| 4 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 147 | 2499 |
| 118 and 48 | 2832 |
| 36 and 36 | 36 |
| 42 and 133 | 798 |
| 85 and 20 | 340 |