Least Common Multiple (LCM) of 72 and 134
The least common multiple (LCM) of 72 and 134 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 72 and 134?
First, calculate the GCD of 72 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 134 = 0 remainder 72 |
| 2 | 134 ÷ 72 = 1 remainder 62 |
| 3 | 72 ÷ 62 = 1 remainder 10 |
| 4 | 62 ÷ 10 = 6 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 21 | 147 |
| 36 and 172 | 1548 |
| 110 and 163 | 17930 |
| 164 and 139 | 22796 |
| 143 and 14 | 2002 |