Least Common Multiple (LCM) of 124 and 176
The least common multiple (LCM) of 124 and 176 is 5456.
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 124 and 176?
First, calculate the GCD of 124 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 176 = 0 remainder 124 |
| 2 | 176 ÷ 124 = 1 remainder 52 |
| 3 | 124 ÷ 52 = 2 remainder 20 |
| 4 | 52 ÷ 20 = 2 remainder 12 |
| 5 | 20 ÷ 12 = 1 remainder 8 |
| 6 | 12 ÷ 8 = 1 remainder 4 |
| 7 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 48 | 1968 |
| 113 and 40 | 4520 |
| 145 and 21 | 3045 |
| 45 and 160 | 1440 |
| 43 and 115 | 4945 |