Least Common Multiple (LCM) of 72 and 141
The least common multiple (LCM) of 72 and 141 is 3384.
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 141?
First, calculate the GCD of 72 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 141 = 0 remainder 72 |
| 2 | 141 ÷ 72 = 1 remainder 69 |
| 3 | 72 ÷ 69 = 1 remainder 3 |
| 4 | 69 ÷ 3 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 138 | 2898 |
| 27 and 128 | 3456 |
| 28 and 127 | 3556 |
| 178 and 188 | 16732 |
| 69 and 27 | 621 |