Least Common Multiple (LCM) of 92 and 32
The least common multiple (LCM) of 92 and 32 is 736.
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 32?
First, calculate the GCD of 92 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 32 = 2 remainder 28 |
| 2 | 32 ÷ 28 = 1 remainder 4 |
| 3 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 47 | 6768 |
| 53 and 77 | 4081 |
| 37 and 35 | 1295 |
| 160 and 98 | 7840 |
| 190 and 147 | 27930 |