Least Common Multiple (LCM) of 154 and 95
The least common multiple (LCM) of 154 and 95 is 14630.
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 154 and 95?
First, calculate the GCD of 154 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 95 = 1 remainder 59 |
| 2 | 95 ÷ 59 = 1 remainder 36 |
| 3 | 59 ÷ 36 = 1 remainder 23 |
| 4 | 36 ÷ 23 = 1 remainder 13 |
| 5 | 23 ÷ 13 = 1 remainder 10 |
| 6 | 13 ÷ 10 = 1 remainder 3 |
| 7 | 10 ÷ 3 = 3 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 92 | 1196 |
| 169 and 84 | 14196 |
| 76 and 100 | 1900 |
| 60 and 147 | 2940 |
| 196 and 97 | 19012 |