Least Common Multiple (LCM) of 176 and 149
The least common multiple (LCM) of 176 and 149 is 26224.
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 149?
First, calculate the GCD of 176 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 149 = 1 remainder 27 |
| 2 | 149 ÷ 27 = 5 remainder 14 |
| 3 | 27 ÷ 14 = 1 remainder 13 |
| 4 | 14 ÷ 13 = 1 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 101 | 17776 |
| 129 and 22 | 2838 |
| 117 and 132 | 5148 |
| 87 and 57 | 1653 |
| 14 and 193 | 2702 |