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 |
|---|---|
| 30 and 21 | 210 |
| 170 and 102 | 510 |
| 172 and 195 | 33540 |
| 129 and 105 | 4515 |
| 162 and 196 | 15876 |