Least Common Multiple (LCM) of 95 and 126
The least common multiple (LCM) of 95 and 126 is 11970.
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 126?
First, calculate the GCD of 95 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 126 = 0 remainder 95 |
| 2 | 126 ÷ 95 = 1 remainder 31 |
| 3 | 95 ÷ 31 = 3 remainder 2 |
| 4 | 31 ÷ 2 = 15 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 106 | 7632 |
| 79 and 63 | 4977 |
| 21 and 82 | 1722 |
| 174 and 158 | 13746 |
| 57 and 140 | 7980 |