Least Common Multiple (LCM) of 154 and 13
The least common multiple (LCM) of 154 and 13 is 2002.
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 13?
First, calculate the GCD of 154 and 13 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 13 = 11 remainder 11 |
| 2 | 13 ÷ 11 = 1 remainder 2 |
| 3 | 11 ÷ 2 = 5 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 167 | 25217 |
| 20 and 28 | 140 |
| 126 and 24 | 504 |
| 29 and 171 | 4959 |
| 130 and 77 | 10010 |