Least Common Multiple (LCM) of 160 and 176
The least common multiple (LCM) of 160 and 176 is 1760.
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 176?
First, calculate the GCD of 160 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 176 = 0 remainder 160 |
| 2 | 176 ÷ 160 = 1 remainder 16 |
| 3 | 160 ÷ 16 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 115 | 3335 |
| 79 and 183 | 14457 |
| 45 and 10 | 90 |
| 55 and 61 | 3355 |
| 113 and 158 | 17854 |