Least Common Multiple (LCM) of 118 and 160
The least common multiple (LCM) of 118 and 160 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 118 and 160?
First, calculate the GCD of 118 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 160 = 0 remainder 118 |
| 2 | 160 ÷ 118 = 1 remainder 42 |
| 3 | 118 ÷ 42 = 2 remainder 34 |
| 4 | 42 ÷ 34 = 1 remainder 8 |
| 5 | 34 ÷ 8 = 4 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 137 | 15070 |
| 153 and 146 | 22338 |
| 12 and 70 | 420 |
| 179 and 43 | 7697 |
| 189 and 120 | 7560 |