Least Common Multiple (LCM) of 152 and 177
The least common multiple (LCM) of 152 and 177 is 26904.
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 152 and 177?
First, calculate the GCD of 152 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 177 = 0 remainder 152 |
| 2 | 177 ÷ 152 = 1 remainder 25 |
| 3 | 152 ÷ 25 = 6 remainder 2 |
| 4 | 25 ÷ 2 = 12 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 145 | 9570 |
| 18 and 180 | 180 |
| 155 and 71 | 11005 |
| 16 and 66 | 528 |
| 154 and 31 | 4774 |