Least Common Multiple (LCM) of 134 and 72
The least common multiple (LCM) of 134 and 72 is 4824.
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 72?
First, calculate the GCD of 134 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 72 = 1 remainder 62 |
| 2 | 72 ÷ 62 = 1 remainder 10 |
| 3 | 62 ÷ 10 = 6 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 52 | 2548 |
| 98 and 23 | 2254 |
| 189 and 146 | 27594 |
| 121 and 142 | 17182 |
| 31 and 42 | 1302 |