Least Common Multiple (LCM) of 152 and 82
The least common multiple (LCM) of 152 and 82 is 6232.
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 82?
First, calculate the GCD of 152 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 82 = 1 remainder 70 |
| 2 | 82 ÷ 70 = 1 remainder 12 |
| 3 | 70 ÷ 12 = 5 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 46 | 8786 |
| 159 and 74 | 11766 |
| 11 and 200 | 2200 |
| 114 and 75 | 2850 |
| 88 and 188 | 4136 |