Least Common Multiple (LCM) of 95 and 124
The least common multiple (LCM) of 95 and 124 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 95 and 124?
First, calculate the GCD of 95 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 124 = 0 remainder 95 |
| 2 | 124 ÷ 95 = 1 remainder 29 |
| 3 | 95 ÷ 29 = 3 remainder 8 |
| 4 | 29 ÷ 8 = 3 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 108 | 756 |
| 75 and 178 | 13350 |
| 173 and 46 | 7958 |
| 173 and 51 | 8823 |
| 84 and 196 | 588 |