Least Common Multiple (LCM) of 176 and 152
The least common multiple (LCM) of 176 and 152 is 3344.
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 152?
First, calculate the GCD of 176 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 152 = 1 remainder 24 |
| 2 | 152 ÷ 24 = 6 remainder 8 |
| 3 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 82 | 3854 |
| 82 and 74 | 3034 |
| 116 and 106 | 6148 |
| 158 and 63 | 9954 |
| 106 and 67 | 7102 |