Least Common Multiple (LCM) of 120 and 160
The least common multiple (LCM) of 120 and 160 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 120 and 160?
First, calculate the GCD of 120 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 160 = 0 remainder 120 |
| 2 | 160 ÷ 120 = 1 remainder 40 |
| 3 | 120 ÷ 40 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 70 | 7070 |
| 160 and 70 | 1120 |
| 113 and 171 | 19323 |
| 46 and 153 | 7038 |
| 199 and 42 | 8358 |