Least Common Multiple (LCM) of 120 and 176
The least common multiple (LCM) of 120 and 176 is 2640.
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 176?
First, calculate the GCD of 120 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 176 = 0 remainder 120 |
| 2 | 176 ÷ 120 = 1 remainder 56 |
| 3 | 120 ÷ 56 = 2 remainder 8 |
| 4 | 56 ÷ 8 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 197 | 21473 |
| 181 and 82 | 14842 |
| 107 and 41 | 4387 |
| 73 and 13 | 949 |
| 12 and 106 | 636 |