Least Common Multiple (LCM) of 88 and 32
The least common multiple (LCM) of 88 and 32 is 352.
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 88 and 32?
First, calculate the GCD of 88 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 32 = 2 remainder 24 |
| 2 | 32 ÷ 24 = 1 remainder 8 |
| 3 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 79 | 5925 |
| 45 and 134 | 6030 |
| 120 and 128 | 1920 |
| 170 and 198 | 16830 |
| 164 and 79 | 12956 |