Least Common Multiple (LCM) of 124 and 95
The least common multiple (LCM) of 124 and 95 is 11780.
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 95?
First, calculate the GCD of 124 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 95 = 1 remainder 29 |
| 2 | 95 ÷ 29 = 3 remainder 8 |
| 3 | 29 ÷ 8 = 3 remainder 5 |
| 4 | 8 ÷ 5 = 1 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 36 | 1764 |
| 99 and 17 | 1683 |
| 46 and 67 | 3082 |
| 164 and 156 | 6396 |
| 178 and 120 | 10680 |