Least Common Multiple (LCM) of 152 and 106
The least common multiple (LCM) of 152 and 106 is 8056.
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 106?
First, calculate the GCD of 152 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 106 = 1 remainder 46 |
| 2 | 106 ÷ 46 = 2 remainder 14 |
| 3 | 46 ÷ 14 = 3 remainder 4 |
| 4 | 14 ÷ 4 = 3 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 147 | 8967 |
| 158 and 83 | 13114 |
| 159 and 123 | 6519 |
| 187 and 133 | 24871 |
| 64 and 123 | 7872 |