Least Common Multiple (LCM) of 176 and 151
The least common multiple (LCM) of 176 and 151 is 26576.
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 151?
First, calculate the GCD of 176 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 151 = 1 remainder 25 |
| 2 | 151 ÷ 25 = 6 remainder 1 |
| 3 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 145 | 3190 |
| 48 and 14 | 336 |
| 200 and 188 | 9400 |
| 76 and 138 | 5244 |
| 188 and 48 | 2256 |