Least Common Multiple (LCM) of 134 and 152
The least common multiple (LCM) of 134 and 152 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 134 and 152?
First, calculate the GCD of 134 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 152 = 0 remainder 134 |
| 2 | 152 ÷ 134 = 1 remainder 18 |
| 3 | 134 ÷ 18 = 7 remainder 8 |
| 4 | 18 ÷ 8 = 2 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 104 | 17160 |
| 129 and 38 | 4902 |
| 35 and 23 | 805 |
| 90 and 170 | 1530 |
| 68 and 179 | 12172 |