Least Common Multiple (LCM) of 36 and 88
The least common multiple (LCM) of 36 and 88 is 792.
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 88?
First, calculate the GCD of 36 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 88 = 0 remainder 36 |
| 2 | 88 ÷ 36 = 2 remainder 16 |
| 3 | 36 ÷ 16 = 2 remainder 4 |
| 4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 106 | 10176 |
| 51 and 195 | 3315 |
| 14 and 67 | 938 |
| 174 and 61 | 10614 |
| 75 and 69 | 1725 |