Least Common Multiple (LCM) of 152 and 182
The least common multiple (LCM) of 152 and 182 is 13832.
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 182?
First, calculate the GCD of 152 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 182 = 0 remainder 152 |
| 2 | 182 ÷ 152 = 1 remainder 30 |
| 3 | 152 ÷ 30 = 5 remainder 2 |
| 4 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 10 | 120 |
| 64 and 129 | 8256 |
| 195 and 185 | 7215 |
| 187 and 118 | 22066 |
| 87 and 80 | 6960 |