Least Common Multiple (LCM) of 95 and 148
The least common multiple (LCM) of 95 and 148 is 14060.
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 148?
First, calculate the GCD of 95 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 148 = 0 remainder 95 |
| 2 | 148 ÷ 95 = 1 remainder 53 |
| 3 | 95 ÷ 53 = 1 remainder 42 |
| 4 | 53 ÷ 42 = 1 remainder 11 |
| 5 | 42 ÷ 11 = 3 remainder 9 |
| 6 | 11 ÷ 9 = 1 remainder 2 |
| 7 | 9 ÷ 2 = 4 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 157 | 13973 |
| 159 and 140 | 22260 |
| 77 and 60 | 4620 |
| 101 and 81 | 8181 |
| 40 and 107 | 4280 |