Least Common Multiple (LCM) of 92 and 72
The least common multiple (LCM) of 92 and 72 is 1656.
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 92 and 72?
First, calculate the GCD of 92 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 72 = 1 remainder 20 |
| 2 | 72 ÷ 20 = 3 remainder 12 |
| 3 | 20 ÷ 12 = 1 remainder 8 |
| 4 | 12 ÷ 8 = 1 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 181 | 24978 |
| 129 and 104 | 13416 |
| 105 and 84 | 420 |
| 136 and 66 | 4488 |
| 70 and 33 | 2310 |