Least Common Multiple (LCM) of 176 and 120
The least common multiple (LCM) of 176 and 120 is 2640.
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 176 and 120?
First, calculate the GCD of 176 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 120 = 1 remainder 56 |
| 2 | 120 ÷ 56 = 2 remainder 8 |
| 3 | 56 ÷ 8 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 66 | 3762 |
| 32 and 67 | 2144 |
| 163 and 90 | 14670 |
| 200 and 14 | 1400 |
| 139 and 100 | 13900 |