Least Common Multiple (LCM) of 154 and 101
The least common multiple (LCM) of 154 and 101 is 15554.
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 101?
First, calculate the GCD of 154 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 101 = 1 remainder 53 |
| 2 | 101 ÷ 53 = 1 remainder 48 |
| 3 | 53 ÷ 48 = 1 remainder 5 |
| 4 | 48 ÷ 5 = 9 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 158 | 28914 |
| 22 and 121 | 242 |
| 159 and 143 | 22737 |
| 188 and 80 | 3760 |
| 55 and 30 | 330 |