Least Common Multiple (LCM) of 196 and 124
The least common multiple (LCM) of 196 and 124 is 6076.
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 196 and 124?
First, calculate the GCD of 196 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 124 = 1 remainder 72 |
| 2 | 124 ÷ 72 = 1 remainder 52 |
| 3 | 72 ÷ 52 = 1 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 |
|---|---|
| 150 and 14 | 1050 |
| 58 and 119 | 6902 |
| 172 and 150 | 12900 |
| 31 and 69 | 2139 |
| 105 and 108 | 3780 |