Least Common Multiple (LCM) of 120 and 88
The least common multiple (LCM) of 120 and 88 is 1320.
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 120 and 88?
First, calculate the GCD of 120 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 88 = 1 remainder 32 |
| 2 | 88 ÷ 32 = 2 remainder 24 |
| 3 | 32 ÷ 24 = 1 remainder 8 |
| 4 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 53 | 9169 |
| 129 and 43 | 129 |
| 91 and 91 | 91 |
| 72 and 149 | 10728 |
| 130 and 73 | 9490 |