Least Common Multiple (LCM) of 154 and 63
The least common multiple (LCM) of 154 and 63 is 1386.
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 63?
First, calculate the GCD of 154 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 63 = 2 remainder 28 |
| 2 | 63 ÷ 28 = 2 remainder 7 |
| 3 | 28 ÷ 7 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 30 | 870 |
| 175 and 197 | 34475 |
| 50 and 141 | 7050 |
| 75 and 16 | 1200 |
| 172 and 181 | 31132 |