Least Common Multiple (LCM) of 152 and 134
The least common multiple (LCM) of 152 and 134 is 10184.
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 134?
First, calculate the GCD of 152 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 134 = 1 remainder 18 |
| 2 | 134 ÷ 18 = 7 remainder 8 |
| 3 | 18 ÷ 8 = 2 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 31 | 744 |
| 119 and 119 | 119 |
| 107 and 142 | 15194 |
| 41 and 113 | 4633 |
| 165 and 82 | 13530 |