Least Common Multiple (LCM) of 36 and 28
The least common multiple (LCM) of 36 and 28 is 252.
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 36 and 28?
First, calculate the GCD of 36 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 28 = 1 remainder 8 |
| 2 | 28 ÷ 8 = 3 remainder 4 |
| 3 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 150 | 6150 |
| 99 and 56 | 5544 |
| 199 and 107 | 21293 |
| 159 and 196 | 31164 |
| 194 and 177 | 34338 |