Least Common Multiple (LCM) of 160 and 118
The least common multiple (LCM) of 160 and 118 is 9440.
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 118?
First, calculate the GCD of 160 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 118 = 1 remainder 42 |
| 2 | 118 ÷ 42 = 2 remainder 34 |
| 3 | 42 ÷ 34 = 1 remainder 8 |
| 4 | 34 ÷ 8 = 4 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 74 | 1850 |
| 34 and 27 | 918 |
| 123 and 157 | 19311 |
| 45 and 116 | 5220 |
| 44 and 169 | 7436 |