Least Common Multiple (LCM) of 95 and 149
The least common multiple (LCM) of 95 and 149 is 14155.
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 149?
First, calculate the GCD of 95 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 149 = 0 remainder 95 |
| 2 | 149 ÷ 95 = 1 remainder 54 |
| 3 | 95 ÷ 54 = 1 remainder 41 |
| 4 | 54 ÷ 41 = 1 remainder 13 |
| 5 | 41 ÷ 13 = 3 remainder 2 |
| 6 | 13 ÷ 2 = 6 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 60 | 1860 |
| 123 and 94 | 11562 |
| 198 and 197 | 39006 |
| 118 and 113 | 13334 |
| 149 and 86 | 12814 |