Least Common Multiple (LCM) of 176 and 27
The least common multiple (LCM) of 176 and 27 is 4752.
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 27?
First, calculate the GCD of 176 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 27 = 6 remainder 14 |
| 2 | 27 ÷ 14 = 1 remainder 13 |
| 3 | 14 ÷ 13 = 1 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 53 | 7208 |
| 30 and 198 | 990 |
| 45 and 30 | 90 |
| 44 and 142 | 3124 |
| 163 and 139 | 22657 |