Least Common Multiple (LCM) of 95 and 154
The least common multiple (LCM) of 95 and 154 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 95 and 154?
First, calculate the GCD of 95 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 154 = 0 remainder 95 |
| 2 | 154 ÷ 95 = 1 remainder 59 |
| 3 | 95 ÷ 59 = 1 remainder 36 |
| 4 | 59 ÷ 36 = 1 remainder 23 |
| 5 | 36 ÷ 23 = 1 remainder 13 |
| 6 | 23 ÷ 13 = 1 remainder 10 |
| 7 | 13 ÷ 10 = 1 remainder 3 |
| 8 | 10 ÷ 3 = 3 remainder 1 |
| 9 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 135 | 2700 |
| 50 and 134 | 3350 |
| 43 and 41 | 1763 |
| 146 and 95 | 13870 |
| 73 and 13 | 949 |