Least Common Multiple (LCM) of 124 and 196
The least common multiple (LCM) of 124 and 196 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 124 and 196?
First, calculate the GCD of 124 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 196 = 0 remainder 124 |
| 2 | 196 ÷ 124 = 1 remainder 72 |
| 3 | 124 ÷ 72 = 1 remainder 52 |
| 4 | 72 ÷ 52 = 1 remainder 20 |
| 5 | 52 ÷ 20 = 2 remainder 12 |
| 6 | 20 ÷ 12 = 1 remainder 8 |
| 7 | 12 ÷ 8 = 1 remainder 4 |
| 8 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 182 | 14560 |
| 67 and 20 | 1340 |
| 182 and 160 | 14560 |
| 24 and 75 | 600 |
| 35 and 30 | 210 |